Finding the Third Proportional to 2,863.25 and 4,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,863.25 : 4,192.50 = 4,192.50 : x
2. Step 2: Convert to fraction form
   2,863.25/4,192.50 = 4,192.50/x
3. Step 3: Cross multiply
   2,863.25x = 4,192.50 × 4,192.50
4. Step 4: Simplify right side
   2,863.25x = 17,577,056.25
5. Step 5: Solve for x
   x = 17,577,056.25/2,863.25
6. Step 6: Final answer
   x = 6,138.85