Finding the Third Proportional to 17,824.69 and 38,728.69

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824.69 : 38,728.69 = 38,728.69 : x
2. Step 2: Convert to fraction form
   17,824.69/38,728.69 = 38,728.69/x
3. Step 3: Cross multiply
   17,824.69x = 38,728.69 × 38,728.69
4. Step 4: Simplify right side
   17,824.69x = 1,499,911,235.47
5. Step 5: Solve for x
   x = 1,499,911,235.47/17,824.69
6. Step 6: Final answer
   x = 84,147.97