Finding the Third Proportional to 10,234 and 22,034

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234 : 22,034 = 22,034 : x
2. Step 2: Convert to fraction form
   10,234/22,034 = 22,034/x
3. Step 3: Cross multiply
   10,234x = 22,034 × 22,034
4. Step 4: Simplify right side
   10,234x = 485,497,156
5. Step 5: Solve for x
   x = 485,497,156/10,234
6. Step 6: Final answer
   x = 47,439.63