Finding the Third Proportional to 6,840 and 13,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,840 : 13,855.50 = 13,855.50 : x
2. Step 2: Convert to fraction form
   6,840/13,855.50 = 13,855.50/x
3. Step 3: Cross multiply
   6,840x = 13,855.50 × 13,855.50
4. Step 4: Simplify right side
   6,840x = 191,974,880.25
5. Step 5: Solve for x
   x = 191,974,880.25/6,840
6. Step 6: Final answer
   x = 28,066.50