Finding the Third Proportional to 8,329.50 and 17,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,329.50 : 17,737.50 = 17,737.50 : x
2. Step 2: Convert to fraction form
   8,329.50/17,737.50 = 17,737.50/x
3. Step 3: Cross multiply
   8,329.50x = 17,737.50 × 17,737.50
4. Step 4: Simplify right side
   8,329.50x = 314,618,906.25
5. Step 5: Solve for x
   x = 314,618,906.25/8,329.50
6. Step 6: Final answer
   x = 37,771.64