Finding the Third Proportional to 1,878.50 and 4,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,878.50 : 4,103.50 = 4,103.50 : x
2. Step 2: Convert to fraction form
   1,878.50/4,103.50 = 4,103.50/x
3. Step 3: Cross multiply
   1,878.50x = 4,103.50 × 4,103.50
4. Step 4: Simplify right side
   1,878.50x = 16,838,712.25
5. Step 5: Solve for x
   x = 16,838,712.25/1,878.50
6. Step 6: Final answer
   x = 8,963.91