Finding the Third Proportional to 82.69 and 113.91

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 113.91 = 113.91 : x
2. Step 2: Convert to fraction form
   82.69/113.91 = 113.91/x
3. Step 3: Cross multiply
   82.69x = 113.91 × 113.91
4. Step 4: Simplify right side
   82.69x = 12,974.63
5. Step 5: Solve for x
   x = 12,974.63/82.69
6. Step 6: Final answer
   x = 156.91