Finding the Third Proportional to 1,689 and 3,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689 : 3,548.50 = 3,548.50 : x
2. Step 2: Convert to fraction form
   1,689/3,548.50 = 3,548.50/x
3. Step 3: Cross multiply
   1,689x = 3,548.50 × 3,548.50
4. Step 4: Simplify right side
   1,689x = 12,591,852.25
5. Step 5: Solve for x
   x = 12,591,852.25/1,689
6. Step 6: Final answer
   x = 7,455.21