Finding the Third Proportional to 106.52 and 116.96

Step by Step Solution

1. Step 1: Write the proportion equation
   106.52 : 116.96 = 116.96 : x
2. Step 2: Convert to fraction form
   106.52/116.96 = 116.96/x
3. Step 3: Cross multiply
   106.52x = 116.96 × 116.96
4. Step 4: Simplify right side
   106.52x = 13,680.77
5. Step 5: Solve for x
   x = 13,680.77/106.52
6. Step 6: Final answer
   x = 128.43