Finding the Third Proportional to 6,824.39 and 10,452.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824.39 : 10,452.59 = 10,452.59 : x
2. Step 2: Convert to fraction form
   6,824.39/10,452.59 = 10,452.59/x
3. Step 3: Cross multiply
   6,824.39x = 10,452.59 × 10,452.59
4. Step 4: Simplify right side
   6,824.39x = 109,256,552.78
5. Step 5: Solve for x
   x = 109,256,552.78/6,824.39
6. Step 6: Final answer
   x = 16,009.72