Finding the Third Proportional to 59.16 and 90.09

Step by Step Solution

1. Step 1: Write the proportion equation
   59.16 : 90.09 = 90.09 : x
2. Step 2: Convert to fraction form
   59.16/90.09 = 90.09/x
3. Step 3: Cross multiply
   59.16x = 90.09 × 90.09
4. Step 4: Simplify right side
   59.16x = 8,116.88
5. Step 5: Solve for x
   x = 8,116.88/59.16
6. Step 6: Final answer
   x = 137.21