Finding the Third Proportional to 35,866.50 and 52,706.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,866.50 : 52,706.25 = 52,706.25 : x
2. Step 2: Convert to fraction form
   35,866.50/52,706.25 = 52,706.25/x
3. Step 3: Cross multiply
   35,866.50x = 52,706.25 × 52,706.25
4. Step 4: Simplify right side
   35,866.50x = 2,777,948,789.06
5. Step 5: Solve for x
   x = 2,777,948,789.06/35,866.50
6. Step 6: Final answer
   x = 77,452.46