Finding the Third Proportional to 10,507 and 22,922

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507 : 22,922 = 22,922 : x
2. Step 2: Convert to fraction form
   10,507/22,922 = 22,922/x
3. Step 3: Cross multiply
   10,507x = 22,922 × 22,922
4. Step 4: Simplify right side
   10,507x = 525,418,084
5. Step 5: Solve for x
   x = 525,418,084/10,507
6. Step 6: Final answer
   x = 50,006.48