Finding the Third Proportional to 6,709.50 and 10,447.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,709.50 : 10,447.31 = 10,447.31 : x
2. Step 2: Convert to fraction form
   6,709.50/10,447.31 = 10,447.31/x
3. Step 3: Cross multiply
   6,709.50x = 10,447.31 × 10,447.31
4. Step 4: Simplify right side
   6,709.50x = 109,146,338.47
5. Step 5: Solve for x
   x = 109,146,338.47/6,709.50
6. Step 6: Final answer
   x = 16,267.43