Finding the Third Proportional to 1,746 and 3,799.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746 : 3,799.31 = 3,799.31 : x
2. Step 2: Convert to fraction form
   1,746/3,799.31 = 3,799.31/x
3. Step 3: Cross multiply
   1,746x = 3,799.31 × 3,799.31
4. Step 4: Simplify right side
   1,746x = 14,434,775.47
5. Step 5: Solve for x
   x = 14,434,775.47/1,746
6. Step 6: Final answer
   x = 8,267.34