Finding the Third Proportional to 1,744.31 and 3,796.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,744.31 : 3,796.88 = 3,796.88 : x
2. Step 2: Convert to fraction form
   1,744.31/3,796.88 = 3,796.88/x
3. Step 3: Cross multiply
   1,744.31x = 3,796.88 × 3,796.88
4. Step 4: Simplify right side
   1,744.31x = 14,416,259.77
5. Step 5: Solve for x
   x = 14,416,259.77/1,744.31
6. Step 6: Final answer
   x = 8,264.72