Finding the Third Proportional to 5,511 and 5,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,511 : 5,983.50 = 5,983.50 : x
2. Step 2: Convert to fraction form
   5,511/5,983.50 = 5,983.50/x
3. Step 3: Cross multiply
   5,511x = 5,983.50 × 5,983.50
4. Step 4: Simplify right side
   5,511x = 35,802,272.25
5. Step 5: Solve for x
   x = 35,802,272.25/5,511
6. Step 6: Final answer
   x = 6,496.51