Finding the Third Proportional to 13,177.50 and 31,497.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,177.50 : 31,497.75 = 31,497.75 : x
2. Step 2: Convert to fraction form
   13,177.50/31,497.75 = 31,497.75/x
3. Step 3: Cross multiply
   13,177.50x = 31,497.75 × 31,497.75
4. Step 4: Simplify right side
   13,177.50x = 992,108,255.06
5. Step 5: Solve for x
   x = 992,108,255.06/13,177.50
6. Step 6: Final answer
   x = 75,288.05