Finding the Third Proportional to 3,898.50 and 8,828.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,898.50 : 8,828.25 = 8,828.25 : x
2. Step 2: Convert to fraction form
   3,898.50/8,828.25 = 8,828.25/x
3. Step 3: Cross multiply
   3,898.50x = 8,828.25 × 8,828.25
4. Step 4: Simplify right side
   3,898.50x = 77,937,998.06
5. Step 5: Solve for x
   x = 77,937,998.06/3,898.50
6. Step 6: Final answer
   x = 19,991.79