Finding the Third Proportional to 6,859.75 and 10,385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,859.75 : 10,385.25 = 10,385.25 : x
2. Step 2: Convert to fraction form
   6,859.75/10,385.25 = 10,385.25/x
3. Step 3: Cross multiply
   6,859.75x = 10,385.25 × 10,385.25
4. Step 4: Simplify right side
   6,859.75x = 107,853,417.56
5. Step 5: Solve for x
   x = 107,853,417.56/6,859.75
6. Step 6: Final answer
   x = 15,722.65