Finding the Third Proportional to 3,820.50 and 8,856

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.50 : 8,856 = 8,856 : x
2. Step 2: Convert to fraction form
   3,820.50/8,856 = 8,856/x
3. Step 3: Cross multiply
   3,820.50x = 8,856 × 8,856
4. Step 4: Simplify right side
   3,820.50x = 78,428,736
5. Step 5: Solve for x
   x = 78,428,736/3,820.50
6. Step 6: Final answer
   x = 20,528.40