Finding the Third Proportional to 15,147 and 21,682.69

Step by Step Solution

1. Step 1: Write the proportion equation
   15,147 : 21,682.69 = 21,682.69 : x
2. Step 2: Convert to fraction form
   15,147/21,682.69 = 21,682.69/x
3. Step 3: Cross multiply
   15,147x = 21,682.69 × 21,682.69
4. Step 4: Simplify right side
   15,147x = 470,138,937.22
5. Step 5: Solve for x
   x = 470,138,937.22/15,147
6. Step 6: Final answer
   x = 31,038.42