Finding the Third Proportional to 10,138 and 22,000

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 22,000 = 22,000 : x
2. Step 2: Convert to fraction form
   10,138/22,000 = 22,000/x
3. Step 3: Cross multiply
   10,138x = 22,000 × 22,000
4. Step 4: Simplify right side
   10,138x = 484,000,000
5. Step 5: Solve for x
   x = 484,000,000/10,138
6. Step 6: Final answer
   x = 47,741.17