Finding the Third Proportional to 2,878.50 and 4,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878.50 : 4,073.50 = 4,073.50 : x
2. Step 2: Convert to fraction form
   2,878.50/4,073.50 = 4,073.50/x
3. Step 3: Cross multiply
   2,878.50x = 4,073.50 × 4,073.50
4. Step 4: Simplify right side
   2,878.50x = 16,593,402.25
5. Step 5: Solve for x
   x = 16,593,402.25/2,878.50
6. Step 6: Final answer
   x = 5,764.60