Finding the Third Proportional to 993.50 and 2,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   993.50 : 2,168.50 = 2,168.50 : x
2. Step 2: Convert to fraction form
   993.50/2,168.50 = 2,168.50/x
3. Step 3: Cross multiply
   993.50x = 2,168.50 × 2,168.50
4. Step 4: Simplify right side
   993.50x = 4,702,392.25
5. Step 5: Solve for x
   x = 4,702,392.25/993.50
6. Step 6: Final answer
   x = 4,733.16