Finding the Third Proportional to 29,769.75 and 40,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,769.75 : 40,414.50 = 40,414.50 : x
2. Step 2: Convert to fraction form
   29,769.75/40,414.50 = 40,414.50/x
3. Step 3: Cross multiply
   29,769.75x = 40,414.50 × 40,414.50
4. Step 4: Simplify right side
   29,769.75x = 1,633,331,810.25
5. Step 5: Solve for x
   x = 1,633,331,810.25/29,769.75
6. Step 6: Final answer
   x = 54,865.49