Finding the Third Proportional to 42.50 and 87.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42.50 : 87.25 = 87.25 : x
2. Step 2: Convert to fraction form
   42.50/87.25 = 87.25/x
3. Step 3: Cross multiply
   42.50x = 87.25 × 87.25
4. Step 4: Simplify right side
   42.50x = 7,612.56
5. Step 5: Solve for x
   x = 7,612.56/42.50
6. Step 6: Final answer
   x = 179.12