Finding the Third Proportional to 22,306 and 48,499

Step by Step Solution

1. Step 1: Write the proportion equation
   22,306 : 48,499 = 48,499 : x
2. Step 2: Convert to fraction form
   22,306/48,499 = 48,499/x
3. Step 3: Cross multiply
   22,306x = 48,499 × 48,499
4. Step 4: Simplify right side
   22,306x = 2,352,153,001
5. Step 5: Solve for x
   x = 2,352,153,001/22,306
6. Step 6: Final answer
   x = 105,449.34