Finding the Third Proportional to 72.46 and 112.64

Step by Step Solution

1. Step 1: Write the proportion equation
   72.46 : 112.64 = 112.64 : x
2. Step 2: Convert to fraction form
   72.46/112.64 = 112.64/x
3. Step 3: Cross multiply
   72.46x = 112.64 × 112.64
4. Step 4: Simplify right side
   72.46x = 12,687.91
5. Step 5: Solve for x
   x = 12,687.91/72.46
6. Step 6: Final answer
   x = 175.11