Finding the Third Proportional to 59.80 and 92.55

Step by Step Solution

1. Step 1: Write the proportion equation
   59.80 : 92.55 = 92.55 : x
2. Step 2: Convert to fraction form
   59.80/92.55 = 92.55/x
3. Step 3: Cross multiply
   59.80x = 92.55 × 92.55
4. Step 4: Simplify right side
   59.80x = 8,565.29
5. Step 5: Solve for x
   x = 8,565.29/59.80
6. Step 6: Final answer
   x = 143.23