Finding the Third Proportional to 11,084 and 23,386

Step by Step Solution

1. Step 1: Write the proportion equation
   11,084 : 23,386 = 23,386 : x
2. Step 2: Convert to fraction form
   11,084/23,386 = 23,386/x
3. Step 3: Cross multiply
   11,084x = 23,386 × 23,386
4. Step 4: Simplify right side
   11,084x = 546,904,996
5. Step 5: Solve for x
   x = 546,904,996/11,084
6. Step 6: Final answer
   x = 49,341.84