Finding the Third Proportional to 993.71 and 1,462.98

Step by Step Solution

1. Step 1: Write the proportion equation
   993.71 : 1,462.98 = 1,462.98 : x
2. Step 2: Convert to fraction form
   993.71/1,462.98 = 1,462.98/x
3. Step 3: Cross multiply
   993.71x = 1,462.98 × 1,462.98
4. Step 4: Simplify right side
   993.71x = 2,140,320.42
5. Step 5: Solve for x
   x = 2,140,320.42/993.71
6. Step 6: Final answer
   x = 2,153.86