Finding the Third Proportional to 39.50 and 65.88

Step by Step Solution

1. Step 1: Write the proportion equation
   39.50 : 65.88 = 65.88 : x
2. Step 2: Convert to fraction form
   39.50/65.88 = 65.88/x
3. Step 3: Cross multiply
   39.50x = 65.88 × 65.88
4. Step 4: Simplify right side
   39.50x = 4,339.52
5. Step 5: Solve for x
   x = 4,339.52/39.50
6. Step 6: Final answer
   x = 109.86