Finding the Third Proportional to 38.25 and 59.16

Step by Step Solution

1. Step 1: Write the proportion equation
   38.25 : 59.16 = 59.16 : x
2. Step 2: Convert to fraction form
   38.25/59.16 = 59.16/x
3. Step 3: Cross multiply
   38.25x = 59.16 × 59.16
4. Step 4: Simplify right side
   38.25x = 3,499.46
5. Step 5: Solve for x
   x = 3,499.46/38.25
6. Step 6: Final answer
   x = 91.49