Finding the Third Proportional to 10,031 and 21,832

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031 : 21,832 = 21,832 : x
2. Step 2: Convert to fraction form
   10,031/21,832 = 21,832/x
3. Step 3: Cross multiply
   10,031x = 21,832 × 21,832
4. Step 4: Simplify right side
   10,031x = 476,636,224
5. Step 5: Solve for x
   x = 476,636,224/10,031
6. Step 6: Final answer
   x = 47,516.32