Finding the Third Proportional to 6,819.75 and 10,004.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,819.75 : 10,004.63 = 10,004.63 : x
2. Step 2: Convert to fraction form
   6,819.75/10,004.63 = 10,004.63/x
3. Step 3: Cross multiply
   6,819.75x = 10,004.63 × 10,004.63
4. Step 4: Simplify right side
   6,819.75x = 100,092,521.39
5. Step 5: Solve for x
   x = 100,092,521.39/6,819.75
6. Step 6: Final answer
   x = 14,676.86