Finding the Third Proportional to 8,417 and 17,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,417 : 17,721.50 = 17,721.50 : x
2. Step 2: Convert to fraction form
   8,417/17,721.50 = 17,721.50/x
3. Step 3: Cross multiply
   8,417x = 17,721.50 × 17,721.50
4. Step 4: Simplify right side
   8,417x = 314,051,562.25
5. Step 5: Solve for x
   x = 314,051,562.25/8,417
6. Step 6: Final answer
   x = 37,311.58