Finding the Third Proportional to 21,474 and 47,082

Step by Step Solution

1. Step 1: Write the proportion equation
   21,474 : 47,082 = 47,082 : x
2. Step 2: Convert to fraction form
   21,474/47,082 = 47,082/x
3. Step 3: Cross multiply
   21,474x = 47,082 × 47,082
4. Step 4: Simplify right side
   21,474x = 2,216,714,724
5. Step 5: Solve for x
   x = 2,216,714,724/21,474
6. Step 6: Final answer
   x = 103,227.84