Finding the Third Proportional to 10,820 and 17,156

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 17,156 = 17,156 : x
2. Step 2: Convert to fraction form
   10,820/17,156 = 17,156/x
3. Step 3: Cross multiply
   10,820x = 17,156 × 17,156
4. Step 4: Simplify right side
   10,820x = 294,328,336
5. Step 5: Solve for x
   x = 294,328,336/10,820
6. Step 6: Final answer
   x = 27,202.25