Finding the Third Proportional to 17,849.25 and 38,684.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,849.25 : 38,684.25 = 38,684.25 : x
2. Step 2: Convert to fraction form
   17,849.25/38,684.25 = 38,684.25/x
3. Step 3: Cross multiply
   17,849.25x = 38,684.25 × 38,684.25
4. Step 4: Simplify right side
   17,849.25x = 1,496,471,198.06
5. Step 5: Solve for x
   x = 1,496,471,198.06/17,849.25
6. Step 6: Final answer
   x = 83,839.44