Finding the Third Proportional to 2,746 and 3,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746 : 3,047.50 = 3,047.50 : x
2. Step 2: Convert to fraction form
   2,746/3,047.50 = 3,047.50/x
3. Step 3: Cross multiply
   2,746x = 3,047.50 × 3,047.50
4. Step 4: Simplify right side
   2,746x = 9,287,256.25
5. Step 5: Solve for x
   x = 9,287,256.25/2,746
6. Step 6: Final answer
   x = 3,382.10