Finding the Third Proportional to 82.50 and 116.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 116.25 = 116.25 : x
2. Step 2: Convert to fraction form
   82.50/116.25 = 116.25/x
3. Step 3: Cross multiply
   82.50x = 116.25 × 116.25
4. Step 4: Simplify right side
   82.50x = 13,514.06
5. Step 5: Solve for x
   x = 13,514.06/82.50
6. Step 6: Final answer
   x = 163.81