Finding the Third Proportional to 17,771 and 37,729

Step by Step Solution

1. Step 1: Write the proportion equation
   17,771 : 37,729 = 37,729 : x
2. Step 2: Convert to fraction form
   17,771/37,729 = 37,729/x
3. Step 3: Cross multiply
   17,771x = 37,729 × 37,729
4. Step 4: Simplify right side
   17,771x = 1,423,477,441
5. Step 5: Solve for x
   x = 1,423,477,441/17,771
6. Step 6: Final answer
   x = 80,101.14