Finding the Third Proportional to 2,280 and 3,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,280 : 3,472.50 = 3,472.50 : x
2. Step 2: Convert to fraction form
   2,280/3,472.50 = 3,472.50/x
3. Step 3: Cross multiply
   2,280x = 3,472.50 × 3,472.50
4. Step 4: Simplify right side
   2,280x = 12,058,256.25
5. Step 5: Solve for x
   x = 12,058,256.25/2,280
6. Step 6: Final answer
   x = 5,288.71