Finding the Third Proportional to 22.55 and 51.86

Step by Step Solution

1. Step 1: Write the proportion equation
   22.55 : 51.86 = 51.86 : x
2. Step 2: Convert to fraction form
   22.55/51.86 = 51.86/x
3. Step 3: Cross multiply
   22.55x = 51.86 × 51.86
4. Step 4: Simplify right side
   22.55x = 2,689.27
5. Step 5: Solve for x
   x = 2,689.27/22.55
6. Step 6: Final answer
   x = 119.27