Finding the Third Proportional to 22,380 and 52,548

Step by Step Solution

1. Step 1: Write the proportion equation
   22,380 : 52,548 = 52,548 : x
2. Step 2: Convert to fraction form
   22,380/52,548 = 52,548/x
3. Step 3: Cross multiply
   22,380x = 52,548 × 52,548
4. Step 4: Simplify right side
   22,380x = 2,761,292,304
5. Step 5: Solve for x
   x = 2,761,292,304/22,380
6. Step 6: Final answer
   x = 123,382.14