Finding the Third Proportional to 75.73 and 116.82

Step by Step Solution

1. Step 1: Write the proportion equation
   75.73 : 116.82 = 116.82 : x
2. Step 2: Convert to fraction form
   75.73/116.82 = 116.82/x
3. Step 3: Cross multiply
   75.73x = 116.82 × 116.82
4. Step 4: Simplify right side
   75.73x = 13,647.90
5. Step 5: Solve for x
   x = 13,647.90/75.73
6. Step 6: Final answer
   x = 180.23