Finding the Third Proportional to 6,789 and 10,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789 : 10,366.50 = 10,366.50 : x
2. Step 2: Convert to fraction form
   6,789/10,366.50 = 10,366.50/x
3. Step 3: Cross multiply
   6,789x = 10,366.50 × 10,366.50
4. Step 4: Simplify right side
   6,789x = 107,464,322.25
5. Step 5: Solve for x
   x = 107,464,322.25/6,789
6. Step 6: Final answer
   x = 15,829.18