Finding the Third Proportional to 72.84 and 102.17

Step by Step Solution

1. Step 1: Write the proportion equation
   72.84 : 102.17 = 102.17 : x
2. Step 2: Convert to fraction form
   72.84/102.17 = 102.17/x
3. Step 3: Cross multiply
   72.84x = 102.17 × 102.17
4. Step 4: Simplify right side
   72.84x = 10,439.09
5. Step 5: Solve for x
   x = 10,439.09/72.84
6. Step 6: Final answer
   x = 143.31