Finding the Third Proportional to 763.50 and 1,550

Step by Step Solution

1. Step 1: Write the proportion equation
   763.50 : 1,550 = 1,550 : x
2. Step 2: Convert to fraction form
   763.50/1,550 = 1,550/x
3. Step 3: Cross multiply
   763.50x = 1,550 × 1,550
4. Step 4: Simplify right side
   763.50x = 2,402,500
5. Step 5: Solve for x
   x = 2,402,500/763.50
6. Step 6: Final answer
   x = 3,146.69