Finding the Third Proportional to 7,837 and 17,131

Step by Step Solution

1. Step 1: Write the proportion equation
   7,837 : 17,131 = 17,131 : x
2. Step 2: Convert to fraction form
   7,837/17,131 = 17,131/x
3. Step 3: Cross multiply
   7,837x = 17,131 × 17,131
4. Step 4: Simplify right side
   7,837x = 293,471,161
5. Step 5: Solve for x
   x = 293,471,161/7,837
6. Step 6: Final answer
   x = 37,446.88