Finding the Third Proportional to 9,222.19 and 13,842.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,222.19 : 13,842.56 = 13,842.56 : x
2. Step 2: Convert to fraction form
   9,222.19/13,842.56 = 13,842.56/x
3. Step 3: Cross multiply
   9,222.19x = 13,842.56 × 13,842.56
4. Step 4: Simplify right side
   9,222.19x = 191,616,536.57
5. Step 5: Solve for x
   x = 191,616,536.57/9,222.19
6. Step 6: Final answer
   x = 20,777.77