Finding the Third Proportional to 763.50 and 1,182

Step by Step Solution

1. Step 1: Write the proportion equation
   763.50 : 1,182 = 1,182 : x
2. Step 2: Convert to fraction form
   763.50/1,182 = 1,182/x
3. Step 3: Cross multiply
   763.50x = 1,182 × 1,182
4. Step 4: Simplify right side
   763.50x = 1,397,124
5. Step 5: Solve for x
   x = 1,397,124/763.50
6. Step 6: Final answer
   x = 1,829.89