Finding the Third Proportional to 11,384,564,136,504 and 17,343,595,973,204

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384,564,136,504 : 17,343,595,973,204 = 17,343,595,973,204 : x
2. Step 2: Convert to fraction form
   11,384,564,136,504/17,343,595,973,204 = 17,343,595,973,204/x
3. Step 3: Cross multiply
   11,384,564,136,504x = 17,343,595,973,204 × 17,343,595,973,204
4. Step 4: Simplify right side
   11,384,564,136,504x = 300,800,321,281,738,012,245,360,640
5. Step 5: Solve for x
   x = 300,800,321,281,738,012,245,360,640/11,384,564,136,504
6. Step 6: Final answer
   x = 26,421,768,780,522.55