Finding the Third Proportional to 17,644 and 37,847

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644 : 37,847 = 37,847 : x
2. Step 2: Convert to fraction form
   17,644/37,847 = 37,847/x
3. Step 3: Cross multiply
   17,644x = 37,847 × 37,847
4. Step 4: Simplify right side
   17,644x = 1,432,395,409
5. Step 5: Solve for x
   x = 1,432,395,409/17,644
6. Step 6: Final answer
   x = 81,183.14