Finding the Third Proportional to 31,288.50 and 47,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,288.50 : 47,706.75 = 47,706.75 : x
2. Step 2: Convert to fraction form
   31,288.50/47,706.75 = 47,706.75/x
3. Step 3: Cross multiply
   31,288.50x = 47,706.75 × 47,706.75
4. Step 4: Simplify right side
   31,288.50x = 2,275,933,995.56
5. Step 5: Solve for x
   x = 2,275,933,995.56/31,288.50
6. Step 6: Final answer
   x = 72,740.27