Finding the Third Proportional to 6,462 and 13,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,462 : 13,684.50 = 13,684.50 : x
2. Step 2: Convert to fraction form
   6,462/13,684.50 = 13,684.50/x
3. Step 3: Cross multiply
   6,462x = 13,684.50 × 13,684.50
4. Step 4: Simplify right side
   6,462x = 187,265,540.25
5. Step 5: Solve for x
   x = 187,265,540.25/6,462
6. Step 6: Final answer
   x = 28,979.50