Finding the Third Proportional to 31,530 and 48,822

Step by Step Solution

1. Step 1: Write the proportion equation
   31,530 : 48,822 = 48,822 : x
2. Step 2: Convert to fraction form
   31,530/48,822 = 48,822/x
3. Step 3: Cross multiply
   31,530x = 48,822 × 48,822
4. Step 4: Simplify right side
   31,530x = 2,383,587,684
5. Step 5: Solve for x
   x = 2,383,587,684/31,530
6. Step 6: Final answer
   x = 75,597.45