Finding the Third Proportional to 8,638.50 and 17,822

Step by Step Solution

1. Step 1: Write the proportion equation
   8,638.50 : 17,822 = 17,822 : x
2. Step 2: Convert to fraction form
   8,638.50/17,822 = 17,822/x
3. Step 3: Cross multiply
   8,638.50x = 17,822 × 17,822
4. Step 4: Simplify right side
   8,638.50x = 317,623,684
5. Step 5: Solve for x
   x = 317,623,684/8,638.50
6. Step 6: Final answer
   x = 36,768.38