Finding the Third Proportional to 38.25 and 55.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38.25 : 55.88 = 55.88 : x
2. Step 2: Convert to fraction form
   38.25/55.88 = 55.88/x
3. Step 3: Cross multiply
   38.25x = 55.88 × 55.88
4. Step 4: Simplify right side
   38.25x = 3,122.02
5. Step 5: Solve for x
   x = 3,122.02/38.25
6. Step 6: Final answer
   x = 81.62