Finding the Third Proportional to 9,217.50 and 13,835.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,217.50 : 13,835.25 = 13,835.25 : x
2. Step 2: Convert to fraction form
   9,217.50/13,835.25 = 13,835.25/x
3. Step 3: Cross multiply
   9,217.50x = 13,835.25 × 13,835.25
4. Step 4: Simplify right side
   9,217.50x = 191,414,142.56
5. Step 5: Solve for x
   x = 191,414,142.56/9,217.50
6. Step 6: Final answer
   x = 20,766.38