Finding the Third Proportional to 10,042 and 21,873

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042 : 21,873 = 21,873 : x
2. Step 2: Convert to fraction form
   10,042/21,873 = 21,873/x
3. Step 3: Cross multiply
   10,042x = 21,873 × 21,873
4. Step 4: Simplify right side
   10,042x = 478,428,129
5. Step 5: Solve for x
   x = 478,428,129/10,042
6. Step 6: Final answer
   x = 47,642.71