Finding the Third Proportional to 11,364 and 23,517

Step by Step Solution

1. Step 1: Write the proportion equation
   11,364 : 23,517 = 23,517 : x
2. Step 2: Convert to fraction form
   11,364/23,517 = 23,517/x
3. Step 3: Cross multiply
   11,364x = 23,517 × 23,517
4. Step 4: Simplify right side
   11,364x = 553,049,289
5. Step 5: Solve for x
   x = 553,049,289/11,364
6. Step 6: Final answer
   x = 48,666.78