Finding the Third Proportional to 6,824.25 and 10,546.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824.25 : 10,546.88 = 10,546.88 : x
2. Step 2: Convert to fraction form
   6,824.25/10,546.88 = 10,546.88/x
3. Step 3: Cross multiply
   6,824.25x = 10,546.88 × 10,546.88
4. Step 4: Simplify right side
   6,824.25x = 111,236,572.27
5. Step 5: Solve for x
   x = 111,236,572.27/6,824.25
6. Step 6: Final answer
   x = 16,300.19