Finding the Third Proportional to 10,829 and 17,229

Step by Step Solution

1. Step 1: Write the proportion equation
   10,829 : 17,229 = 17,229 : x
2. Step 2: Convert to fraction form
   10,829/17,229 = 17,229/x
3. Step 3: Cross multiply
   10,829x = 17,229 × 17,229
4. Step 4: Simplify right side
   10,829x = 296,838,441
5. Step 5: Solve for x
   x = 296,838,441/10,829
6. Step 6: Final answer
   x = 27,411.44