Finding the Third Proportional to 96.61 and 142.17

Step by Step Solution

1. Step 1: Write the proportion equation
   96.61 : 142.17 = 142.17 : x
2. Step 2: Convert to fraction form
   96.61/142.17 = 142.17/x
3. Step 3: Cross multiply
   96.61x = 142.17 × 142.17
4. Step 4: Simplify right side
   96.61x = 20,212.84
5. Step 5: Solve for x
   x = 20,212.84/96.61
6. Step 6: Final answer
   x = 209.22