Finding the Third Proportional to 9,564 and 18,156

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 18,156 = 18,156 : x
2. Step 2: Convert to fraction form
   9,564/18,156 = 18,156/x
3. Step 3: Cross multiply
   9,564x = 18,156 × 18,156
4. Step 4: Simplify right side
   9,564x = 329,640,336
5. Step 5: Solve for x
   x = 329,640,336/9,564
6. Step 6: Final answer
   x = 34,466.79