Finding the Third Proportional to 8,200.50 and 17,778

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200.50 : 17,778 = 17,778 : x
2. Step 2: Convert to fraction form
   8,200.50/17,778 = 17,778/x
3. Step 3: Cross multiply
   8,200.50x = 17,778 × 17,778
4. Step 4: Simplify right side
   8,200.50x = 316,057,284
5. Step 5: Solve for x
   x = 316,057,284/8,200.50
6. Step 6: Final answer
   x = 38,541.22