Finding the Third Proportional to 6,854.50 and 9,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,854.50 : 9,705.50 = 9,705.50 : x
2. Step 2: Convert to fraction form
   6,854.50/9,705.50 = 9,705.50/x
3. Step 3: Cross multiply
   6,854.50x = 9,705.50 × 9,705.50
4. Step 4: Simplify right side
   6,854.50x = 94,196,730.25
5. Step 5: Solve for x
   x = 94,196,730.25/6,854.50
6. Step 6: Final answer
   x = 13,742.32