Finding the Third Proportional to 17,649 and 38,513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,649 : 38,513.25 = 38,513.25 : x
2. Step 2: Convert to fraction form
   17,649/38,513.25 = 38,513.25/x
3. Step 3: Cross multiply
   17,649x = 38,513.25 × 38,513.25
4. Step 4: Simplify right side
   17,649x = 1,483,270,425.56
5. Step 5: Solve for x
   x = 1,483,270,425.56/17,649
6. Step 6: Final answer
   x = 84,042.75