Finding the Third Proportional to 8,496 and 18,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,496 : 18,085.50 = 18,085.50 : x
2. Step 2: Convert to fraction form
   8,496/18,085.50 = 18,085.50/x
3. Step 3: Cross multiply
   8,496x = 18,085.50 × 18,085.50
4. Step 4: Simplify right side
   8,496x = 327,085,310.25
5. Step 5: Solve for x
   x = 327,085,310.25/8,496
6. Step 6: Final answer
   x = 38,498.74