Finding the Third Proportional to 8,338 and 17,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,338 : 17,826.50 = 17,826.50 : x
2. Step 2: Convert to fraction form
   8,338/17,826.50 = 17,826.50/x
3. Step 3: Cross multiply
   8,338x = 17,826.50 × 17,826.50
4. Step 4: Simplify right side
   8,338x = 317,784,102.25
5. Step 5: Solve for x
   x = 317,784,102.25/8,338
6. Step 6: Final answer
   x = 38,112.75