Finding the Third Proportional to 17,676 and 38,673

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 38,673 = 38,673 : x
2. Step 2: Convert to fraction form
   17,676/38,673 = 38,673/x
3. Step 3: Cross multiply
   17,676x = 38,673 × 38,673
4. Step 4: Simplify right side
   17,676x = 1,495,600,929
5. Step 5: Solve for x
   x = 1,495,600,929/17,676
6. Step 6: Final answer
   x = 84,611.96