Finding the Third Proportional to 39.50 and 89.13

Step by Step Solution

1. Step 1: Write the proportion equation
   39.50 : 89.13 = 89.13 : x
2. Step 2: Convert to fraction form
   39.50/89.13 = 89.13/x
3. Step 3: Cross multiply
   39.50x = 89.13 × 89.13
4. Step 4: Simplify right side
   39.50x = 7,943.27
5. Step 5: Solve for x
   x = 7,943.27/39.50
6. Step 6: Final answer
   x = 201.10