Finding the Third Proportional to 2,077.50 and 3,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.50 : 3,862.50 = 3,862.50 : x
2. Step 2: Convert to fraction form
   2,077.50/3,862.50 = 3,862.50/x
3. Step 3: Cross multiply
   2,077.50x = 3,862.50 × 3,862.50
4. Step 4: Simplify right side
   2,077.50x = 14,918,906.25
5. Step 5: Solve for x
   x = 14,918,906.25/2,077.50
6. Step 6: Final answer
   x = 7,181.18