Finding the Third Proportional to 1,993.50 and 4,098.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,993.50 : 4,098.38 = 4,098.38 : x
2. Step 2: Convert to fraction form
   1,993.50/4,098.38 = 4,098.38/x
3. Step 3: Cross multiply
   1,993.50x = 4,098.38 × 4,098.38
4. Step 4: Simplify right side
   1,993.50x = 16,796,677.64
5. Step 5: Solve for x
   x = 16,796,677.64/1,993.50
6. Step 6: Final answer
   x = 8,425.72