Finding the Third Proportional to 22,272 and 52,764

Step by Step Solution

1. Step 1: Write the proportion equation
   22,272 : 52,764 = 52,764 : x
2. Step 2: Convert to fraction form
   22,272/52,764 = 52,764/x
3. Step 3: Cross multiply
   22,272x = 52,764 × 52,764
4. Step 4: Simplify right side
   22,272x = 2,784,039,696
5. Step 5: Solve for x
   x = 2,784,039,696/22,272
6. Step 6: Final answer
   x = 125,001.78