Finding the Third Proportional to 11,754 and 13,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,754 : 13,819.50 = 13,819.50 : x
2. Step 2: Convert to fraction form
   11,754/13,819.50 = 13,819.50/x
3. Step 3: Cross multiply
   11,754x = 13,819.50 × 13,819.50
4. Step 4: Simplify right side
   11,754x = 190,978,580.25
5. Step 5: Solve for x
   x = 190,978,580.25/11,754
6. Step 6: Final answer
   x = 16,247.96