Finding the Third Proportional to 22,542 and 52,185

Step by Step Solution

1. Step 1: Write the proportion equation
   22,542 : 52,185 = 52,185 : x
2. Step 2: Convert to fraction form
   22,542/52,185 = 52,185/x
3. Step 3: Cross multiply
   22,542x = 52,185 × 52,185
4. Step 4: Simplify right side
   22,542x = 2,723,274,225
5. Step 5: Solve for x
   x = 2,723,274,225/22,542
6. Step 6: Final answer
   x = 120,808.90