Finding the Third Proportional to 7,832 and 17,109

Step by Step Solution

1. Step 1: Write the proportion equation
   7,832 : 17,109 = 17,109 : x
2. Step 2: Convert to fraction form
   7,832/17,109 = 17,109/x
3. Step 3: Cross multiply
   7,832x = 17,109 × 17,109
4. Step 4: Simplify right side
   7,832x = 292,717,881
5. Step 5: Solve for x
   x = 292,717,881/7,832
6. Step 6: Final answer
   x = 37,374.60