Finding the Third Proportional to 59.27 and 126.77

Step by Step Solution

1. Step 1: Write the proportion equation
   59.27 : 126.77 = 126.77 : x
2. Step 2: Convert to fraction form
   59.27/126.77 = 126.77/x
3. Step 3: Cross multiply
   59.27x = 126.77 × 126.77
4. Step 4: Simplify right side
   59.27x = 16,071.50
5. Step 5: Solve for x
   x = 16,071.50/59.27
6. Step 6: Final answer
   x = 271.14