Finding the Third Proportional to 31,524 and 48,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,524 : 48,811.50 = 48,811.50 : x
2. Step 2: Convert to fraction form
   31,524/48,811.50 = 48,811.50/x
3. Step 3: Cross multiply
   31,524x = 48,811.50 × 48,811.50
4. Step 4: Simplify right side
   31,524x = 2,382,562,532.25
5. Step 5: Solve for x
   x = 2,382,562,532.25/31,524
6. Step 6: Final answer
   x = 75,579.32