Finding the Third Proportional to 22,522 and 52,139

Step by Step Solution

1. Step 1: Write the proportion equation
   22,522 : 52,139 = 52,139 : x
2. Step 2: Convert to fraction form
   22,522/52,139 = 52,139/x
3. Step 3: Cross multiply
   22,522x = 52,139 × 52,139
4. Step 4: Simplify right side
   22,522x = 2,718,475,321
5. Step 5: Solve for x
   x = 2,718,475,321/22,522
6. Step 6: Final answer
   x = 120,703.10