Finding the Third Proportional to 11,147 and 24,298

Step by Step Solution

1. Step 1: Write the proportion equation
   11,147 : 24,298 = 24,298 : x
2. Step 2: Convert to fraction form
   11,147/24,298 = 24,298/x
3. Step 3: Cross multiply
   11,147x = 24,298 × 24,298
4. Step 4: Simplify right side
   11,147x = 590,392,804
5. Step 5: Solve for x
   x = 590,392,804/11,147
6. Step 6: Final answer
   x = 52,964.28