Finding the Third Proportional to 57.59 and 91.55

Step by Step Solution

1. Step 1: Write the proportion equation
   57.59 : 91.55 = 91.55 : x
2. Step 2: Convert to fraction form
   57.59/91.55 = 91.55/x
3. Step 3: Cross multiply
   57.59x = 91.55 × 91.55
4. Step 4: Simplify right side
   57.59x = 8,380.83
5. Step 5: Solve for x
   x = 8,380.83/57.59
6. Step 6: Final answer
   x = 145.54