Finding the Third Proportional to 11,182 and 23,084

Step by Step Solution

1. Step 1: Write the proportion equation
   11,182 : 23,084 = 23,084 : x
2. Step 2: Convert to fraction form
   11,182/23,084 = 23,084/x
3. Step 3: Cross multiply
   11,182x = 23,084 × 23,084
4. Step 4: Simplify right side
   11,182x = 532,871,056
5. Step 5: Solve for x
   x = 532,871,056/11,182
6. Step 6: Final answer
   x = 47,654.36