Finding the Third Proportional to 9,216.56 and 13,834.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,216.56 : 13,834.13 = 13,834.13 : x
2. Step 2: Convert to fraction form
   9,216.56/13,834.13 = 13,834.13/x
3. Step 3: Cross multiply
   9,216.56x = 13,834.13 × 13,834.13
4. Step 4: Simplify right side
   9,216.56x = 191,383,014.52
5. Step 5: Solve for x
   x = 191,383,014.52/9,216.56
6. Step 6: Final answer
   x = 20,765.12