Finding the Third Proportional to 10,906 and 17,038

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906 : 17,038 = 17,038 : x
2. Step 2: Convert to fraction form
   10,906/17,038 = 17,038/x
3. Step 3: Cross multiply
   10,906x = 17,038 × 17,038
4. Step 4: Simplify right side
   10,906x = 290,293,444
5. Step 5: Solve for x
   x = 290,293,444/10,906
6. Step 6: Final answer
   x = 26,617.77