Finding the Third Proportional to 7,834 and 17,108

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834 : 17,108 = 17,108 : x
2. Step 2: Convert to fraction form
   7,834/17,108 = 17,108/x
3. Step 3: Cross multiply
   7,834x = 17,108 × 17,108
4. Step 4: Simplify right side
   7,834x = 292,683,664
5. Step 5: Solve for x
   x = 292,683,664/7,834
6. Step 6: Final answer
   x = 37,360.69