Finding the Third Proportional to 9,002.81 and 13,628.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.81 : 13,628.44 = 13,628.44 : x
2. Step 2: Convert to fraction form
   9,002.81/13,628.44 = 13,628.44/x
3. Step 3: Cross multiply
   9,002.81x = 13,628.44 × 13,628.44
4. Step 4: Simplify right side
   9,002.81x = 185,734,308.69
5. Step 5: Solve for x
   x = 185,734,308.69/9,002.81
6. Step 6: Final answer
   x = 20,630.70