Finding the Third Proportional to 2,077.50 and 4,587

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.50 : 4,587 = 4,587 : x
2. Step 2: Convert to fraction form
   2,077.50/4,587 = 4,587/x
3. Step 3: Cross multiply
   2,077.50x = 4,587 × 4,587
4. Step 4: Simplify right side
   2,077.50x = 21,040,569
5. Step 5: Solve for x
   x = 21,040,569/2,077.50
6. Step 6: Final answer
   x = 10,127.83