Finding the Third Proportional to 13,689 and 17,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,689 : 17,293.50 = 17,293.50 : x
2. Step 2: Convert to fraction form
   13,689/17,293.50 = 17,293.50/x
3. Step 3: Cross multiply
   13,689x = 17,293.50 × 17,293.50
4. Step 4: Simplify right side
   13,689x = 299,065,142.25
5. Step 5: Solve for x
   x = 299,065,142.25/13,689
6. Step 6: Final answer
   x = 21,847.11