Finding the Third Proportional to 21,874 and 32,082

Step by Step Solution

1. Step 1: Write the proportion equation
   21,874 : 32,082 = 32,082 : x
2. Step 2: Convert to fraction form
   21,874/32,082 = 32,082/x
3. Step 3: Cross multiply
   21,874x = 32,082 × 32,082
4. Step 4: Simplify right side
   21,874x = 1,029,254,724
5. Step 5: Solve for x
   x = 1,029,254,724/21,874
6. Step 6: Final answer
   x = 47,053.80