Finding the Third Proportional to 9,002.25 and 18,369

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.25 : 18,369 = 18,369 : x
2. Step 2: Convert to fraction form
   9,002.25/18,369 = 18,369/x
3. Step 3: Cross multiply
   9,002.25x = 18,369 × 18,369
4. Step 4: Simplify right side
   9,002.25x = 337,420,161
5. Step 5: Solve for x
   x = 337,420,161/9,002.25
6. Step 6: Final answer
   x = 37,481.76