Finding the Third Proportional to 11,384,564,137,610 and 17,343,595,974,980

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384,564,137,610 : 17,343,595,974,980 = 17,343,595,974,980 : x
2. Step 2: Convert to fraction form
   11,384,564,137,610/17,343,595,974,980 = 17,343,595,974,980/x
3. Step 3: Cross multiply
   11,384,564,137,610x = 17,343,595,974,980 × 17,343,595,974,980
4. Step 4: Simplify right side
   11,384,564,137,610x = 300,800,321,343,342,446,158,807,040
5. Step 5: Solve for x
   x = 300,800,321,343,342,446,158,807,040/11,384,564,137,610
6. Step 6: Final answer
   x = 26,421,768,783,366.92