Finding the Third Proportional to 58.01 and 89.96

Step by Step Solution

1. Step 1: Write the proportion equation
   58.01 : 89.96 = 89.96 : x
2. Step 2: Convert to fraction form
   58.01/89.96 = 89.96/x
3. Step 3: Cross multiply
   58.01x = 89.96 × 89.96
4. Step 4: Simplify right side
   58.01x = 8,093.67
5. Step 5: Solve for x
   x = 8,093.67/58.01
6. Step 6: Final answer
   x = 139.53