Finding the Third Proportional to 1,738 and 2,650

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738 : 2,650 = 2,650 : x
2. Step 2: Convert to fraction form
   1,738/2,650 = 2,650/x
3. Step 3: Cross multiply
   1,738x = 2,650 × 2,650
4. Step 4: Simplify right side
   1,738x = 7,022,500
5. Step 5: Solve for x
   x = 7,022,500/1,738
6. Step 6: Final answer
   x = 4,040.56