Finding the Third Proportional to 31,500.75 and 48,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,500.75 : 48,738.75 = 48,738.75 : x
2. Step 2: Convert to fraction form
   31,500.75/48,738.75 = 48,738.75/x
3. Step 3: Cross multiply
   31,500.75x = 48,738.75 × 48,738.75
4. Step 4: Simplify right side
   31,500.75x = 2,375,465,751.56
5. Step 5: Solve for x
   x = 2,375,465,751.56/31,500.75
6. Step 6: Final answer
   x = 75,409.82