Finding the Third Proportional to 9,096 and 18,426

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 18,426 = 18,426 : x
2. Step 2: Convert to fraction form
   9,096/18,426 = 18,426/x
3. Step 3: Cross multiply
   9,096x = 18,426 × 18,426
4. Step 4: Simplify right side
   9,096x = 339,517,476
5. Step 5: Solve for x
   x = 339,517,476/9,096
6. Step 6: Final answer
   x = 37,326.02