Finding the Third Proportional to 23,780 and 51,070

Step by Step Solution

1. Step 1: Write the proportion equation
   23,780 : 51,070 = 51,070 : x
2. Step 2: Convert to fraction form
   23,780/51,070 = 51,070/x
3. Step 3: Cross multiply
   23,780x = 51,070 × 51,070
4. Step 4: Simplify right side
   23,780x = 2,608,144,900
5. Step 5: Solve for x
   x = 2,608,144,900/23,780
6. Step 6: Final answer
   x = 109,678.09