Finding the Third Proportional to 2,670 and 5,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,670 : 5,734.50 = 5,734.50 : x
2. Step 2: Convert to fraction form
   2,670/5,734.50 = 5,734.50/x
3. Step 3: Cross multiply
   2,670x = 5,734.50 × 5,734.50
4. Step 4: Simplify right side
   2,670x = 32,884,490.25
5. Step 5: Solve for x
   x = 32,884,490.25/2,670
6. Step 6: Final answer
   x = 12,316.29