Finding the Third Proportional to 72.28 and 107.86

Step by Step Solution

1. Step 1: Write the proportion equation
   72.28 : 107.86 = 107.86 : x
2. Step 2: Convert to fraction form
   72.28/107.86 = 107.86/x
3. Step 3: Cross multiply
   72.28x = 107.86 × 107.86
4. Step 4: Simplify right side
   72.28x = 11,633.64
5. Step 5: Solve for x
   x = 11,633.64/72.28
6. Step 6: Final answer
   x = 160.95