Finding the Third Proportional to 2,542.50 and 3,386.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.50 : 3,386.25 = 3,386.25 : x
2. Step 2: Convert to fraction form
   2,542.50/3,386.25 = 3,386.25/x
3. Step 3: Cross multiply
   2,542.50x = 3,386.25 × 3,386.25
4. Step 4: Simplify right side
   2,542.50x = 11,466,689.06
5. Step 5: Solve for x
   x = 11,466,689.06/2,542.50
6. Step 6: Final answer
   x = 4,510.01