Finding the Third Proportional to 3,878.50 and 5,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.50 : 5,637.50 = 5,637.50 : x
2. Step 2: Convert to fraction form
   3,878.50/5,637.50 = 5,637.50/x
3. Step 3: Cross multiply
   3,878.50x = 5,637.50 × 5,637.50
4. Step 4: Simplify right side
   3,878.50x = 31,781,406.25
5. Step 5: Solve for x
   x = 31,781,406.25/3,878.50
6. Step 6: Final answer
   x = 8,194.25