Finding the Third Proportional to 8,174.25 and 17,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,174.25 : 17,833.50 = 17,833.50 : x
2. Step 2: Convert to fraction form
   8,174.25/17,833.50 = 17,833.50/x
3. Step 3: Cross multiply
   8,174.25x = 17,833.50 × 17,833.50
4. Step 4: Simplify right side
   8,174.25x = 318,033,722.25
5. Step 5: Solve for x
   x = 318,033,722.25/8,174.25
6. Step 6: Final answer
   x = 38,906.78