Finding the Third Proportional to 7,827 and 17,147

Step by Step Solution

1. Step 1: Write the proportion equation
   7,827 : 17,147 = 17,147 : x
2. Step 2: Convert to fraction form
   7,827/17,147 = 17,147/x
3. Step 3: Cross multiply
   7,827x = 17,147 × 17,147
4. Step 4: Simplify right side
   7,827x = 294,019,609
5. Step 5: Solve for x
   x = 294,019,609/7,827
6. Step 6: Final answer
   x = 37,564.79