Finding the Third Proportional to 5,526 and 5,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,526 : 5,998.50 = 5,998.50 : x
2. Step 2: Convert to fraction form
   5,526/5,998.50 = 5,998.50/x
3. Step 3: Cross multiply
   5,526x = 5,998.50 × 5,998.50
4. Step 4: Simplify right side
   5,526x = 35,982,002.25
5. Step 5: Solve for x
   x = 35,982,002.25/5,526
6. Step 6: Final answer
   x = 6,511.40