Finding the Third Proportional to 8,238.75 and 17,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,238.75 : 17,773.50 = 17,773.50 : x
2. Step 2: Convert to fraction form
   8,238.75/17,773.50 = 17,773.50/x
3. Step 3: Cross multiply
   8,238.75x = 17,773.50 × 17,773.50
4. Step 4: Simplify right side
   8,238.75x = 315,897,302.25
5. Step 5: Solve for x
   x = 315,897,302.25/8,238.75
6. Step 6: Final answer
   x = 38,342.87