Finding the Third Proportional to 17,886 and 38,082

Step by Step Solution

1. Step 1: Write the proportion equation
   17,886 : 38,082 = 38,082 : x
2. Step 2: Convert to fraction form
   17,886/38,082 = 38,082/x
3. Step 3: Cross multiply
   17,886x = 38,082 × 38,082
4. Step 4: Simplify right side
   17,886x = 1,450,238,724
5. Step 5: Solve for x
   x = 1,450,238,724/17,886
6. Step 6: Final answer
   x = 81,082.34