Finding the Third Proportional to 13.92 and 32.83

Step by Step Solution

1. Step 1: Write the proportion equation
   13.92 : 32.83 = 32.83 : x
2. Step 2: Convert to fraction form
   13.92/32.83 = 32.83/x
3. Step 3: Cross multiply
   13.92x = 32.83 × 32.83
4. Step 4: Simplify right side
   13.92x = 1,077.80
5. Step 5: Solve for x
   x = 1,077.80/13.92
6. Step 6: Final answer
   x = 77.41