Finding the Third Proportional to 993.75 and 2,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   993.75 : 2,123.25 = 2,123.25 : x
2. Step 2: Convert to fraction form
   993.75/2,123.25 = 2,123.25/x
3. Step 3: Cross multiply
   993.75x = 2,123.25 × 2,123.25
4. Step 4: Simplify right side
   993.75x = 4,508,190.56
5. Step 5: Solve for x
   x = 4,508,190.56/993.75
6. Step 6: Final answer
   x = 4,536.54