Finding the Third Proportional to 106.50 and 117.38

Step by Step Solution

1. Step 1: Write the proportion equation
   106.50 : 117.38 = 117.38 : x
2. Step 2: Convert to fraction form
   106.50/117.38 = 117.38/x
3. Step 3: Cross multiply
   106.50x = 117.38 × 117.38
4. Step 4: Simplify right side
   106.50x = 13,776.89
5. Step 5: Solve for x
   x = 13,776.89/106.50
6. Step 6: Final answer
   x = 129.36