Finding the Third Proportional to 9,422.16 and 13,852.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,422.16 : 13,852.27 = 13,852.27 : x
2. Step 2: Convert to fraction form
   9,422.16/13,852.27 = 13,852.27/x
3. Step 3: Cross multiply
   9,422.16x = 13,852.27 × 13,852.27
4. Step 4: Simplify right side
   9,422.16x = 191,885,262.95
5. Step 5: Solve for x
   x = 191,885,262.95/9,422.16
6. Step 6: Final answer
   x = 20,365.32