Finding the Third Proportional to 70.31 and 106.69

Step by Step Solution

1. Step 1: Write the proportion equation
   70.31 : 106.69 = 106.69 : x
2. Step 2: Convert to fraction form
   70.31/106.69 = 106.69/x
3. Step 3: Cross multiply
   70.31x = 106.69 × 106.69
4. Step 4: Simplify right side
   70.31x = 11,382.22
5. Step 5: Solve for x
   x = 11,382.22/70.31
6. Step 6: Final answer
   x = 161.88