Finding the Third Proportional to 14,648 and 32,084

Step by Step Solution

1. Step 1: Write the proportion equation
   14,648 : 32,084 = 32,084 : x
2. Step 2: Convert to fraction form
   14,648/32,084 = 32,084/x
3. Step 3: Cross multiply
   14,648x = 32,084 × 32,084
4. Step 4: Simplify right side
   14,648x = 1,029,383,056
5. Step 5: Solve for x
   x = 1,029,383,056/14,648
6. Step 6: Final answer
   x = 70,274.65