Finding the Third Proportional to 3,649 and 7,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,649 : 7,875.50 = 7,875.50 : x
2. Step 2: Convert to fraction form
   3,649/7,875.50 = 7,875.50/x
3. Step 3: Cross multiply
   3,649x = 7,875.50 × 7,875.50
4. Step 4: Simplify right side
   3,649x = 62,023,500.25
5. Step 5: Solve for x
   x = 62,023,500.25/3,649
6. Step 6: Final answer
   x = 16,997.40