Finding the Third Proportional to 10,906 and 17,297

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906 : 17,297 = 17,297 : x
2. Step 2: Convert to fraction form
   10,906/17,297 = 17,297/x
3. Step 3: Cross multiply
   10,906x = 17,297 × 17,297
4. Step 4: Simplify right side
   10,906x = 299,186,209
5. Step 5: Solve for x
   x = 299,186,209/10,906
6. Step 6: Final answer
   x = 27,433.18