Finding the Third Proportional to 59.24 and 89.77

Step by Step Solution

1. Step 1: Write the proportion equation
   59.24 : 89.77 = 89.77 : x
2. Step 2: Convert to fraction form
   59.24/89.77 = 89.77/x
3. Step 3: Cross multiply
   59.24x = 89.77 × 89.77
4. Step 4: Simplify right side
   59.24x = 8,058.92
5. Step 5: Solve for x
   x = 8,058.92/59.24
6. Step 6: Final answer
   x = 136.04