Finding the Third Proportional to 72.56 and 96.82

Step by Step Solution

1. Step 1: Write the proportion equation
   72.56 : 96.82 = 96.82 : x
2. Step 2: Convert to fraction form
   72.56/96.82 = 96.82/x
3. Step 3: Cross multiply
   72.56x = 96.82 × 96.82
4. Step 4: Simplify right side
   72.56x = 9,374.17
5. Step 5: Solve for x
   x = 9,374.17/72.56
6. Step 6: Final answer
   x = 129.19