Finding the Third Proportional to 10,638 and 13,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 13,405.50 = 13,405.50 : x
2. Step 2: Convert to fraction form
   10,638/13,405.50 = 13,405.50/x
3. Step 3: Cross multiply
   10,638x = 13,405.50 × 13,405.50
4. Step 4: Simplify right side
   10,638x = 179,707,430.25
5. Step 5: Solve for x
   x = 179,707,430.25/10,638
6. Step 6: Final answer
   x = 16,892.97