Finding the Third Proportional to 1,798 and 2,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,798 : 2,689.50 = 2,689.50 : x
2. Step 2: Convert to fraction form
   1,798/2,689.50 = 2,689.50/x
3. Step 3: Cross multiply
   1,798x = 2,689.50 × 2,689.50
4. Step 4: Simplify right side
   1,798x = 7,233,410.25
5. Step 5: Solve for x
   x = 7,233,410.25/1,798
6. Step 6: Final answer
   x = 4,023.03