Finding the Third Proportional to 22,164 and 52,151

Step by Step Solution

1. Step 1: Write the proportion equation
   22,164 : 52,151 = 52,151 : x
2. Step 2: Convert to fraction form
   22,164/52,151 = 52,151/x
3. Step 3: Cross multiply
   22,164x = 52,151 × 52,151
4. Step 4: Simplify right side
   22,164x = 2,719,726,801
5. Step 5: Solve for x
   x = 2,719,726,801/22,164
6. Step 6: Final answer
   x = 122,709.20