Finding the Third Proportional to 9,002.20 and 13,627.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.20 : 13,627.69 = 13,627.69 : x
2. Step 2: Convert to fraction form
   9,002.20/13,627.69 = 13,627.69/x
3. Step 3: Cross multiply
   9,002.20x = 13,627.69 × 13,627.69
4. Step 4: Simplify right side
   9,002.20x = 185,713,866.60
5. Step 5: Solve for x
   x = 185,713,866.60/9,002.20
6. Step 6: Final answer
   x = 20,629.82