Finding the Third Proportional to 8,084.50 and 17,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,084.50 : 17,868.50 = 17,868.50 : x
2. Step 2: Convert to fraction form
   8,084.50/17,868.50 = 17,868.50/x
3. Step 3: Cross multiply
   8,084.50x = 17,868.50 × 17,868.50
4. Step 4: Simplify right side
   8,084.50x = 319,283,292.25
5. Step 5: Solve for x
   x = 319,283,292.25/8,084.50
6. Step 6: Final answer
   x = 39,493.26