Finding the Third Proportional to 89.50 and 117.13

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 117.13 = 117.13 : x
2. Step 2: Convert to fraction form
   89.50/117.13 = 117.13/x
3. Step 3: Cross multiply
   89.50x = 117.13 × 117.13
4. Step 4: Simplify right side
   89.50x = 13,718.27
5. Step 5: Solve for x
   x = 13,718.27/89.50
6. Step 6: Final answer
   x = 153.28