Finding the Third Proportional to 72.94 and 102.28

Step by Step Solution

1. Step 1: Write the proportion equation
   72.94 : 102.28 = 102.28 : x
2. Step 2: Convert to fraction form
   72.94/102.28 = 102.28/x
3. Step 3: Cross multiply
   72.94x = 102.28 × 102.28
4. Step 4: Simplify right side
   72.94x = 10,461.45
5. Step 5: Solve for x
   x = 10,461.45/72.94
6. Step 6: Final answer
   x = 143.43