Finding the Third Proportional to 1,408 and 1,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408 : 1,610.50 = 1,610.50 : x
2. Step 2: Convert to fraction form
   1,408/1,610.50 = 1,610.50/x
3. Step 3: Cross multiply
   1,408x = 1,610.50 × 1,610.50
4. Step 4: Simplify right side
   1,408x = 2,593,710.25
5. Step 5: Solve for x
   x = 2,593,710.25/1,408
6. Step 6: Final answer
   x = 1,842.12