Finding the Third Proportional to 10,124 and 19,672

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124 : 19,672 = 19,672 : x
2. Step 2: Convert to fraction form
   10,124/19,672 = 19,672/x
3. Step 3: Cross multiply
   10,124x = 19,672 × 19,672
4. Step 4: Simplify right side
   10,124x = 386,987,584
5. Step 5: Solve for x
   x = 386,987,584/10,124
6. Step 6: Final answer
   x = 38,224.77