Finding the Third Proportional to 9,406.13 and 13,828.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.13 : 13,828.22 = 13,828.22 : x
2. Step 2: Convert to fraction form
   9,406.13/13,828.22 = 13,828.22/x
3. Step 3: Cross multiply
   9,406.13x = 13,828.22 × 13,828.22
4. Step 4: Simplify right side
   9,406.13x = 191,219,633.80
5. Step 5: Solve for x
   x = 191,219,633.80/9,406.13
6. Step 6: Final answer
   x = 20,329.27