Finding the Third Proportional to 106.45 and 162.82

Step by Step Solution

1. Step 1: Write the proportion equation
   106.45 : 162.82 = 162.82 : x
2. Step 2: Convert to fraction form
   106.45/162.82 = 162.82/x
3. Step 3: Cross multiply
   106.45x = 162.82 × 162.82
4. Step 4: Simplify right side
   106.45x = 26,510.45
5. Step 5: Solve for x
   x = 26,510.45/106.45
6. Step 6: Final answer
   x = 249.03