Finding the Third Proportional to 89.50 and 98.13

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 98.13 = 98.13 : x
2. Step 2: Convert to fraction form
   89.50/98.13 = 98.13/x
3. Step 3: Cross multiply
   89.50x = 98.13 × 98.13
4. Step 4: Simplify right side
   89.50x = 9,628.52
5. Step 5: Solve for x
   x = 9,628.52/89.50
6. Step 6: Final answer
   x = 107.58