Finding the Third Proportional to 8,126.50 and 17,722

Step by Step Solution

1. Step 1: Write the proportion equation
   8,126.50 : 17,722 = 17,722 : x
2. Step 2: Convert to fraction form
   8,126.50/17,722 = 17,722/x
3. Step 3: Cross multiply
   8,126.50x = 17,722 × 17,722
4. Step 4: Simplify right side
   8,126.50x = 314,069,284
5. Step 5: Solve for x
   x = 314,069,284/8,126.50
6. Step 6: Final answer
   x = 38,647.55