Finding the Third Proportional to 6,824.25 and 14,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824.25 : 14,458.50 = 14,458.50 : x
2. Step 2: Convert to fraction form
   6,824.25/14,458.50 = 14,458.50/x
3. Step 3: Cross multiply
   6,824.25x = 14,458.50 × 14,458.50
4. Step 4: Simplify right side
   6,824.25x = 209,048,222.25
5. Step 5: Solve for x
   x = 209,048,222.25/6,824.25
6. Step 6: Final answer
   x = 30,633.14