Finding the Third Proportional to 10,709 and 17,054

Step by Step Solution

1. Step 1: Write the proportion equation
   10,709 : 17,054 = 17,054 : x
2. Step 2: Convert to fraction form
   10,709/17,054 = 17,054/x
3. Step 3: Cross multiply
   10,709x = 17,054 × 17,054
4. Step 4: Simplify right side
   10,709x = 290,838,916
5. Step 5: Solve for x
   x = 290,838,916/10,709
6. Step 6: Final answer
   x = 27,158.36