Finding the Third Proportional to 17,420 and 37,882

Step by Step Solution

1. Step 1: Write the proportion equation
   17,420 : 37,882 = 37,882 : x
2. Step 2: Convert to fraction form
   17,420/37,882 = 37,882/x
3. Step 3: Cross multiply
   17,420x = 37,882 × 37,882
4. Step 4: Simplify right side
   17,420x = 1,435,045,924
5. Step 5: Solve for x
   x = 1,435,045,924/17,420
6. Step 6: Final answer
   x = 82,379.21