Finding the Third Proportional to 14,842 and 23,084

Step by Step Solution

1. Step 1: Write the proportion equation
   14,842 : 23,084 = 23,084 : x
2. Step 2: Convert to fraction form
   14,842/23,084 = 23,084/x
3. Step 3: Cross multiply
   14,842x = 23,084 × 23,084
4. Step 4: Simplify right side
   14,842x = 532,871,056
5. Step 5: Solve for x
   x = 532,871,056/14,842
6. Step 6: Final answer
   x = 35,902.91