Finding the Third Proportional to 10,394 and 22,733

Step by Step Solution

1. Step 1: Write the proportion equation
   10,394 : 22,733 = 22,733 : x
2. Step 2: Convert to fraction form
   10,394/22,733 = 22,733/x
3. Step 3: Cross multiply
   10,394x = 22,733 × 22,733
4. Step 4: Simplify right side
   10,394x = 516,789,289
5. Step 5: Solve for x
   x = 516,789,289/10,394
6. Step 6: Final answer
   x = 49,719.96