Finding the Third Proportional to 71.97 and 113.89

Step by Step Solution

1. Step 1: Write the proportion equation
   71.97 : 113.89 = 113.89 : x
2. Step 2: Convert to fraction form
   71.97/113.89 = 113.89/x
3. Step 3: Cross multiply
   71.97x = 113.89 × 113.89
4. Step 4: Simplify right side
   71.97x = 12,971.07
5. Step 5: Solve for x
   x = 12,971.07/71.97
6. Step 6: Final answer
   x = 180.23