Finding the Third Proportional to 993 and 2,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   993 : 2,152.50 = 2,152.50 : x
2. Step 2: Convert to fraction form
   993/2,152.50 = 2,152.50/x
3. Step 3: Cross multiply
   993x = 2,152.50 × 2,152.50
4. Step 4: Simplify right side
   993x = 4,633,256.25
5. Step 5: Solve for x
   x = 4,633,256.25/993
6. Step 6: Final answer
   x = 4,665.92