Finding the Third Proportional to 42.25 and 86.13

Step by Step Solution

1. Step 1: Write the proportion equation
   42.25 : 86.13 = 86.13 : x
2. Step 2: Convert to fraction form
   42.25/86.13 = 86.13/x
3. Step 3: Cross multiply
   42.25x = 86.13 × 86.13
4. Step 4: Simplify right side
   42.25x = 7,417.52
5. Step 5: Solve for x
   x = 7,417.52/42.25
6. Step 6: Final answer
   x = 175.56