Finding the Third Proportional to 6,856.50 and 14,684.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.50 : 14,684.25 = 14,684.25 : x
2. Step 2: Convert to fraction form
   6,856.50/14,684.25 = 14,684.25/x
3. Step 3: Cross multiply
   6,856.50x = 14,684.25 × 14,684.25
4. Step 4: Simplify right side
   6,856.50x = 215,627,198.06
5. Step 5: Solve for x
   x = 215,627,198.06/6,856.50
6. Step 6: Final answer
   x = 31,448.58