Finding the Third Proportional to 27,742.50 and 40,687.31

Step by Step Solution

1. Step 1: Write the proportion equation
   27,742.50 : 40,687.31 = 40,687.31 : x
2. Step 2: Convert to fraction form
   27,742.50/40,687.31 = 40,687.31/x
3. Step 3: Cross multiply
   27,742.50x = 40,687.31 × 40,687.31
4. Step 4: Simplify right side
   27,742.50x = 1,655,457,398.47
5. Step 5: Solve for x
   x = 1,655,457,398.47/27,742.50
6. Step 6: Final answer
   x = 59,672.25