Finding the Third Proportional to 15,781.50 and 34,532.16

Step by Step Solution

1. Step 1: Write the proportion equation
   15,781.50 : 34,532.16 = 34,532.16 : x
2. Step 2: Convert to fraction form
   15,781.50/34,532.16 = 34,532.16/x
3. Step 3: Cross multiply
   15,781.50x = 34,532.16 × 34,532.16
4. Step 4: Simplify right side
   15,781.50x = 1,192,469,815.27
5. Step 5: Solve for x
   x = 1,192,469,815.27/15,781.50
6. Step 6: Final answer
   x = 75,561.25