Finding the Third Proportional to 74.88 and 112.25

Step by Step Solution

1. Step 1: Write the proportion equation
   74.88 : 112.25 = 112.25 : x
2. Step 2: Convert to fraction form
   74.88/112.25 = 112.25/x
3. Step 3: Cross multiply
   74.88x = 112.25 × 112.25
4. Step 4: Simplify right side
   74.88x = 12,600.06
5. Step 5: Solve for x
   x = 12,600.06/74.88
6. Step 6: Final answer
   x = 168.28