Finding the Third Proportional to 2,498.75 and 3,886.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.75 : 3,886.25 = 3,886.25 : x
2. Step 2: Convert to fraction form
   2,498.75/3,886.25 = 3,886.25/x
3. Step 3: Cross multiply
   2,498.75x = 3,886.25 × 3,886.25
4. Step 4: Simplify right side
   2,498.75x = 15,102,939.06
5. Step 5: Solve for x
   x = 15,102,939.06/2,498.75
6. Step 6: Final answer
   x = 6,044.20