Finding the Third Proportional to 59.06 and 91.76

Step by Step Solution

1. Step 1: Write the proportion equation
   59.06 : 91.76 = 91.76 : x
2. Step 2: Convert to fraction form
   59.06/91.76 = 91.76/x
3. Step 3: Cross multiply
   59.06x = 91.76 × 91.76
4. Step 4: Simplify right side
   59.06x = 8,419.50
5. Step 5: Solve for x
   x = 8,419.50/59.06
6. Step 6: Final answer
   x = 142.55