Finding the Third Proportional to 59.80 and 126.72

Step by Step Solution

1. Step 1: Write the proportion equation
   59.80 : 126.72 = 126.72 : x
2. Step 2: Convert to fraction form
   59.80/126.72 = 126.72/x
3. Step 3: Cross multiply
   59.80x = 126.72 × 126.72
4. Step 4: Simplify right side
   59.80x = 16,058.14
5. Step 5: Solve for x
   x = 16,058.14/59.80
6. Step 6: Final answer
   x = 268.53