Finding the Third Proportional to 10,151 and 22,147

Step by Step Solution

1. Step 1: Write the proportion equation
   10,151 : 22,147 = 22,147 : x
2. Step 2: Convert to fraction form
   10,151/22,147 = 22,147/x
3. Step 3: Cross multiply
   10,151x = 22,147 × 22,147
4. Step 4: Simplify right side
   10,151x = 490,489,609
5. Step 5: Solve for x
   x = 490,489,609/10,151
6. Step 6: Final answer
   x = 48,319.34