Finding the Third Proportional to 17,662 and 37,727

Step by Step Solution

1. Step 1: Write the proportion equation
   17,662 : 37,727 = 37,727 : x
2. Step 2: Convert to fraction form
   17,662/37,727 = 37,727/x
3. Step 3: Cross multiply
   17,662x = 37,727 × 37,727
4. Step 4: Simplify right side
   17,662x = 1,423,326,529
5. Step 5: Solve for x
   x = 1,423,326,529/17,662
6. Step 6: Final answer
   x = 80,586.94