Finding the Third Proportional to 15.19 and 32.86

Step by Step Solution

1. Step 1: Write the proportion equation
   15.19 : 32.86 = 32.86 : x
2. Step 2: Convert to fraction form
   15.19/32.86 = 32.86/x
3. Step 3: Cross multiply
   15.19x = 32.86 × 32.86
4. Step 4: Simplify right side
   15.19x = 1,079.74
5. Step 5: Solve for x
   x = 1,079.74/15.19
6. Step 6: Final answer
   x = 71.09