Finding the Third Proportional to 38.08 and 61.46

Step by Step Solution

1. Step 1: Write the proportion equation
   38.08 : 61.46 = 61.46 : x
2. Step 2: Convert to fraction form
   38.08/61.46 = 61.46/x
3. Step 3: Cross multiply
   38.08x = 61.46 × 61.46
4. Step 4: Simplify right side
   38.08x = 3,777.52
5. Step 5: Solve for x
   x = 3,777.52/38.08
6. Step 6: Final answer
   x = 99.20