Finding the Third Proportional to 38.46 and 56.18

Step by Step Solution

1. Step 1: Write the proportion equation
   38.46 : 56.18 = 56.18 : x
2. Step 2: Convert to fraction form
   38.46/56.18 = 56.18/x
3. Step 3: Cross multiply
   38.46x = 56.18 × 56.18
4. Step 4: Simplify right side
   38.46x = 3,156.16
5. Step 5: Solve for x
   x = 3,156.16/38.46
6. Step 6: Final answer
   x = 82.06