Finding the Third Proportional to 10,834 and 17,160

Step by Step Solution

1. Step 1: Write the proportion equation
   10,834 : 17,160 = 17,160 : x
2. Step 2: Convert to fraction form
   10,834/17,160 = 17,160/x
3. Step 3: Cross multiply
   10,834x = 17,160 × 17,160
4. Step 4: Simplify right side
   10,834x = 294,465,600
5. Step 5: Solve for x
   x = 294,465,600/10,834
6. Step 6: Final answer
   x = 27,179.77