Finding the Third Proportional to 6,468 and 13,784

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468 : 13,784 = 13,784 : x
2. Step 2: Convert to fraction form
   6,468/13,784 = 13,784/x
3. Step 3: Cross multiply
   6,468x = 13,784 × 13,784
4. Step 4: Simplify right side
   6,468x = 189,998,656
5. Step 5: Solve for x
   x = 189,998,656/6,468
6. Step 6: Final answer
   x = 29,375.18