Finding the Third Proportional to 7,821 and 17,161

Step by Step Solution

1. Step 1: Write the proportion equation
   7,821 : 17,161 = 17,161 : x
2. Step 2: Convert to fraction form
   7,821/17,161 = 17,161/x
3. Step 3: Cross multiply
   7,821x = 17,161 × 17,161
4. Step 4: Simplify right side
   7,821x = 294,499,921
5. Step 5: Solve for x
   x = 294,499,921/7,821
6. Step 6: Final answer
   x = 37,655.02