Finding the Third Proportional to 10,031 and 21,097

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031 : 21,097 = 21,097 : x
2. Step 2: Convert to fraction form
   10,031/21,097 = 21,097/x
3. Step 3: Cross multiply
   10,031x = 21,097 × 21,097
4. Step 4: Simplify right side
   10,031x = 445,083,409
5. Step 5: Solve for x
   x = 445,083,409/10,031
6. Step 6: Final answer
   x = 44,370.79