Finding the Third Proportional to 11,402 and 24,426

Step by Step Solution

1. Step 1: Write the proportion equation
   11,402 : 24,426 = 24,426 : x
2. Step 2: Convert to fraction form
   11,402/24,426 = 24,426/x
3. Step 3: Cross multiply
   11,402x = 24,426 × 24,426
4. Step 4: Simplify right side
   11,402x = 596,629,476
5. Step 5: Solve for x
   x = 596,629,476/11,402
6. Step 6: Final answer
   x = 52,326.74