Finding the Third Proportional to 106 and 151.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106 : 151.25 = 151.25 : x
2. Step 2: Convert to fraction form
   106/151.25 = 151.25/x
3. Step 3: Cross multiply
   106x = 151.25 × 151.25
4. Step 4: Simplify right side
   106x = 22,876.56
5. Step 5: Solve for x
   x = 22,876.56/106
6. Step 6: Final answer
   x = 215.82