Finding the Third Proportional to 59.06 and 90.19

Step by Step Solution

1. Step 1: Write the proportion equation
   59.06 : 90.19 = 90.19 : x
2. Step 2: Convert to fraction form
   59.06/90.19 = 90.19/x
3. Step 3: Cross multiply
   59.06x = 90.19 × 90.19
4. Step 4: Simplify right side
   59.06x = 8,133.79
5. Step 5: Solve for x
   x = 8,133.79/59.06
6. Step 6: Final answer
   x = 137.71