Finding the Third Proportional to 82.83 and 110.39

Step by Step Solution

1. Step 1: Write the proportion equation
   82.83 : 110.39 = 110.39 : x
2. Step 2: Convert to fraction form
   82.83/110.39 = 110.39/x
3. Step 3: Cross multiply
   82.83x = 110.39 × 110.39
4. Step 4: Simplify right side
   82.83x = 12,186.09
5. Step 5: Solve for x
   x = 12,186.09/82.83
6. Step 6: Final answer
   x = 147.13