Finding the Third Proportional to 31,760.25 and 67,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,760.25 : 67,738.50 = 67,738.50 : x
2. Step 2: Convert to fraction form
   31,760.25/67,738.50 = 67,738.50/x
3. Step 3: Cross multiply
   31,760.25x = 67,738.50 × 67,738.50
4. Step 4: Simplify right side
   31,760.25x = 4,588,504,382.25
5. Step 5: Solve for x
   x = 4,588,504,382.25/31,760.25
6. Step 6: Final answer
   x = 144,473.18