Finding the Third Proportional to 1,993.31 and 4,086.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,993.31 : 4,086.19 = 4,086.19 : x
2. Step 2: Convert to fraction form
   1,993.31/4,086.19 = 4,086.19/x
3. Step 3: Cross multiply
   1,993.31x = 4,086.19 × 4,086.19
4. Step 4: Simplify right side
   1,993.31x = 16,696,928.29
5. Step 5: Solve for x
   x = 16,696,928.29/1,993.31
6. Step 6: Final answer
   x = 8,376.47