Finding the Third Proportional to 31,672.50 and 42,639.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,672.50 : 42,639.75 = 42,639.75 : x
2. Step 2: Convert to fraction form
   31,672.50/42,639.75 = 42,639.75/x
3. Step 3: Cross multiply
   31,672.50x = 42,639.75 × 42,639.75
4. Step 4: Simplify right side
   31,672.50x = 1,818,148,280.06
5. Step 5: Solve for x
   x = 1,818,148,280.06/31,672.50
6. Step 6: Final answer
   x = 57,404.63