Finding the Third Proportional to 17,662.50 and 38,649

Step by Step Solution

1. Step 1: Write the proportion equation
   17,662.50 : 38,649 = 38,649 : x
2. Step 2: Convert to fraction form
   17,662.50/38,649 = 38,649/x
3. Step 3: Cross multiply
   17,662.50x = 38,649 × 38,649
4. Step 4: Simplify right side
   17,662.50x = 1,493,745,201
5. Step 5: Solve for x
   x = 1,493,745,201/17,662.50
6. Step 6: Final answer
   x = 84,571.56