Finding the Third Proportional to 993.50 and 1,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   993.50 : 1,558.50 = 1,558.50 : x
2. Step 2: Convert to fraction form
   993.50/1,558.50 = 1,558.50/x
3. Step 3: Cross multiply
   993.50x = 1,558.50 × 1,558.50
4. Step 4: Simplify right side
   993.50x = 2,428,922.25
5. Step 5: Solve for x
   x = 2,428,922.25/993.50
6. Step 6: Final answer
   x = 2,444.81