Finding the Third Proportional to 12.65 and 32.86

Step by Step Solution

1. Step 1: Write the proportion equation
   12.65 : 32.86 = 32.86 : x
2. Step 2: Convert to fraction form
   12.65/32.86 = 32.86/x
3. Step 3: Cross multiply
   12.65x = 32.86 × 32.86
4. Step 4: Simplify right side
   12.65x = 1,080.10
5. Step 5: Solve for x
   x = 1,080.10/12.65
6. Step 6: Final answer
   x = 85.37