Finding the Third Proportional to 9,922.88 and 13,228.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.88 : 13,228.50 = 13,228.50 : x
2. Step 2: Convert to fraction form
   9,922.88/13,228.50 = 13,228.50/x
3. Step 3: Cross multiply
   9,922.88x = 13,228.50 × 13,228.50
4. Step 4: Simplify right side
   9,922.88x = 174,993,212.25
5. Step 5: Solve for x
   x = 174,993,212.25/9,922.88
6. Step 6: Final answer
   x = 17,635.33