Finding the Third Proportional to 29,766.23 and 39,682.41

Step by Step Solution

1. Step 1: Write the proportion equation
   29,766.23 : 39,682.41 = 39,682.41 : x
2. Step 2: Convert to fraction form
   29,766.23/39,682.41 = 39,682.41/x
3. Step 3: Cross multiply
   29,766.23x = 39,682.41 × 39,682.41
4. Step 4: Simplify right side
   29,766.23x = 1,574,693,365.79
5. Step 5: Solve for x
   x = 1,574,693,365.79/29,766.23
6. Step 6: Final answer
   x = 52,902.00