Finding the Third Proportional to 17,821.69 and 39,175.31

Step by Step Solution

1. Step 1: Write the proportion equation
   17,821.69 : 39,175.31 = 39,175.31 : x
2. Step 2: Convert to fraction form
   17,821.69/39,175.31 = 39,175.31/x
3. Step 3: Cross multiply
   17,821.69x = 39,175.31 × 39,175.31
4. Step 4: Simplify right side
   17,821.69x = 1,534,705,109.47
5. Step 5: Solve for x
   x = 1,534,705,109.47/17,821.69
6. Step 6: Final answer
   x = 86,114.47