Finding the Third Proportional to 22,500 and 52,089

Step by Step Solution

1. Step 1: Write the proportion equation
   22,500 : 52,089 = 52,089 : x
2. Step 2: Convert to fraction form
   22,500/52,089 = 52,089/x
3. Step 3: Cross multiply
   22,500x = 52,089 × 52,089
4. Step 4: Simplify right side
   22,500x = 2,713,263,921
5. Step 5: Solve for x
   x = 2,713,263,921/22,500
6. Step 6: Final answer
   x = 120,589.51