Finding the Third Proportional to 17,826 and 38,676

Step by Step Solution

1. Step 1: Write the proportion equation
   17,826 : 38,676 = 38,676 : x
2. Step 2: Convert to fraction form
   17,826/38,676 = 38,676/x
3. Step 3: Cross multiply
   17,826x = 38,676 × 38,676
4. Step 4: Simplify right side
   17,826x = 1,495,832,976
5. Step 5: Solve for x
   x = 1,495,832,976/17,826
6. Step 6: Final answer
   x = 83,912.99