Finding the Third Proportional to 58.59 and 89.06

Step by Step Solution

1. Step 1: Write the proportion equation
   58.59 : 89.06 = 89.06 : x
2. Step 2: Convert to fraction form
   58.59/89.06 = 89.06/x
3. Step 3: Cross multiply
   58.59x = 89.06 × 89.06
4. Step 4: Simplify right side
   58.59x = 7,932.13
5. Step 5: Solve for x
   x = 7,932.13/58.59
6. Step 6: Final answer
   x = 135.38