Finding the Third Proportional to 29,769.50 and 40,539.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,769.50 : 40,539.75 = 40,539.75 : x
2. Step 2: Convert to fraction form
   29,769.50/40,539.75 = 40,539.75/x
3. Step 3: Cross multiply
   29,769.50x = 40,539.75 × 40,539.75
4. Step 4: Simplify right side
   29,769.50x = 1,643,471,330.06
5. Step 5: Solve for x
   x = 1,643,471,330.06/29,769.50
6. Step 6: Final answer
   x = 55,206.55