Finding the Third Proportional to 17,884 and 38,142

Step by Step Solution

1. Step 1: Write the proportion equation
   17,884 : 38,142 = 38,142 : x
2. Step 2: Convert to fraction form
   17,884/38,142 = 38,142/x
3. Step 3: Cross multiply
   17,884x = 38,142 × 38,142
4. Step 4: Simplify right side
   17,884x = 1,454,812,164
5. Step 5: Solve for x
   x = 1,454,812,164/17,884
6. Step 6: Final answer
   x = 81,347.14