Finding the Third Proportional to 9,002.11 and 13,627.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.11 : 13,627.55 = 13,627.55 : x
2. Step 2: Convert to fraction form
   9,002.11/13,627.55 = 13,627.55/x
3. Step 3: Cross multiply
   9,002.11x = 13,627.55 × 13,627.55
4. Step 4: Simplify right side
   9,002.11x = 185,710,033.83
5. Step 5: Solve for x
   x = 185,710,033.83/9,002.11
6. Step 6: Final answer
   x = 20,629.61