Finding the Third Proportional to 10,414 and 22,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414 : 22,916 = 22,916 : x
2. Step 2: Convert to fraction form
   10,414/22,916 = 22,916/x
3. Step 3: Cross multiply
   10,414x = 22,916 × 22,916
4. Step 4: Simplify right side
   10,414x = 525,143,056
5. Step 5: Solve for x
   x = 525,143,056/10,414
6. Step 6: Final answer
   x = 50,426.64