Finding the Third Proportional to 13,689 and 19,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,689 : 19,366.50 = 19,366.50 : x
2. Step 2: Convert to fraction form
   13,689/19,366.50 = 19,366.50/x
3. Step 3: Cross multiply
   13,689x = 19,366.50 × 19,366.50
4. Step 4: Simplify right side
   13,689x = 375,061,322.25
5. Step 5: Solve for x
   x = 375,061,322.25/13,689
6. Step 6: Final answer
   x = 27,398.74