Finding the Third Proportional to 10,916 and 23,426

Step by Step Solution

1. Step 1: Write the proportion equation
   10,916 : 23,426 = 23,426 : x
2. Step 2: Convert to fraction form
   10,916/23,426 = 23,426/x
3. Step 3: Cross multiply
   10,916x = 23,426 × 23,426
4. Step 4: Simplify right side
   10,916x = 548,777,476
5. Step 5: Solve for x
   x = 548,777,476/10,916
6. Step 6: Final answer
   x = 50,272.76