Finding the Third Proportional to 3,874.50 and 8,853.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874.50 : 8,853.75 = 8,853.75 : x
2. Step 2: Convert to fraction form
   3,874.50/8,853.75 = 8,853.75/x
3. Step 3: Cross multiply
   3,874.50x = 8,853.75 × 8,853.75
4. Step 4: Simplify right side
   3,874.50x = 78,388,889.06
5. Step 5: Solve for x
   x = 78,388,889.06/3,874.50
6. Step 6: Final answer
   x = 20,232.00