Finding the Third Proportional to 42.25 and 90.13

Step by Step Solution

1. Step 1: Write the proportion equation
   42.25 : 90.13 = 90.13 : x
2. Step 2: Convert to fraction form
   42.25/90.13 = 90.13/x
3. Step 3: Cross multiply
   42.25x = 90.13 × 90.13
4. Step 4: Simplify right side
   42.25x = 8,122.52
5. Step 5: Solve for x
   x = 8,122.52/42.25
6. Step 6: Final answer
   x = 192.25