Finding the Third Proportional to 29,766 and 39,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,766 : 39,685.50 = 39,685.50 : x
2. Step 2: Convert to fraction form
   29,766/39,685.50 = 39,685.50/x
3. Step 3: Cross multiply
   29,766x = 39,685.50 × 39,685.50
4. Step 4: Simplify right side
   29,766x = 1,574,938,910.25
5. Step 5: Solve for x
   x = 1,574,938,910.25/29,766
6. Step 6: Final answer
   x = 52,910.67