Finding the Third Proportional to 17,260 and 37,679

Step by Step Solution

1. Step 1: Write the proportion equation
   17,260 : 37,679 = 37,679 : x
2. Step 2: Convert to fraction form
   17,260/37,679 = 37,679/x
3. Step 3: Cross multiply
   17,260x = 37,679 × 37,679
4. Step 4: Simplify right side
   17,260x = 1,419,707,041
5. Step 5: Solve for x
   x = 1,419,707,041/17,260
6. Step 6: Final answer
   x = 82,254.17