Finding the Third Proportional to 31,572.50 and 48,766

Step by Step Solution

1. Step 1: Write the proportion equation
   31,572.50 : 48,766 = 48,766 : x
2. Step 2: Convert to fraction form
   31,572.50/48,766 = 48,766/x
3. Step 3: Cross multiply
   31,572.50x = 48,766 × 48,766
4. Step 4: Simplify right side
   31,572.50x = 2,378,122,756
5. Step 5: Solve for x
   x = 2,378,122,756/31,572.50
6. Step 6: Final answer
   x = 75,322.60