Finding the Third Proportional to 6,840 and 13,584

Step by Step Solution

1. Step 1: Write the proportion equation
   6,840 : 13,584 = 13,584 : x
2. Step 2: Convert to fraction form
   6,840/13,584 = 13,584/x
3. Step 3: Cross multiply
   6,840x = 13,584 × 13,584
4. Step 4: Simplify right side
   6,840x = 184,525,056
5. Step 5: Solve for x
   x = 184,525,056/6,840
6. Step 6: Final answer
   x = 26,977.35