Finding the Third Proportional to 16,977 and 37,241

Step by Step Solution

1. Step 1: Write the proportion equation
   16,977 : 37,241 = 37,241 : x
2. Step 2: Convert to fraction form
   16,977/37,241 = 37,241/x
3. Step 3: Cross multiply
   16,977x = 37,241 × 37,241
4. Step 4: Simplify right side
   16,977x = 1,386,892,081
5. Step 5: Solve for x
   x = 1,386,892,081/16,977
6. Step 6: Final answer
   x = 81,692.41