Finding the Third Proportional to 22,144 and 52,102

Step by Step Solution

1. Step 1: Write the proportion equation
   22,144 : 52,102 = 52,102 : x
2. Step 2: Convert to fraction form
   22,144/52,102 = 52,102/x
3. Step 3: Cross multiply
   22,144x = 52,102 × 52,102
4. Step 4: Simplify right side
   22,144x = 2,714,618,404
5. Step 5: Solve for x
   x = 2,714,618,404/22,144
6. Step 6: Final answer
   x = 122,589.34