Finding the Third Proportional to 29,727.50 and 40,763.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,727.50 : 40,763.75 = 40,763.75 : x
2. Step 2: Convert to fraction form
   29,727.50/40,763.75 = 40,763.75/x
3. Step 3: Cross multiply
   29,727.50x = 40,763.75 × 40,763.75
4. Step 4: Simplify right side
   29,727.50x = 1,661,683,314.06
5. Step 5: Solve for x
   x = 1,661,683,314.06/29,727.50
6. Step 6: Final answer
   x = 55,897.18