Finding the Third Proportional to 17,698.50 and 38,616.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,698.50 : 38,616.75 = 38,616.75 : x
2. Step 2: Convert to fraction form
   17,698.50/38,616.75 = 38,616.75/x
3. Step 3: Cross multiply
   17,698.50x = 38,616.75 × 38,616.75
4. Step 4: Simplify right side
   17,698.50x = 1,491,253,380.56
5. Step 5: Solve for x
   x = 1,491,253,380.56/17,698.50
6. Step 6: Final answer
   x = 84,258.74