Finding the Third Proportional to 11,140 and 24,426

Step by Step Solution

1. Step 1: Write the proportion equation
   11,140 : 24,426 = 24,426 : x
2. Step 2: Convert to fraction form
   11,140/24,426 = 24,426/x
3. Step 3: Cross multiply
   11,140x = 24,426 × 24,426
4. Step 4: Simplify right side
   11,140x = 596,629,476
5. Step 5: Solve for x
   x = 596,629,476/11,140
6. Step 6: Final answer
   x = 53,557.40