Finding the Third Proportional to 17,746 and 38,109

Step by Step Solution

1. Step 1: Write the proportion equation
   17,746 : 38,109 = 38,109 : x
2. Step 2: Convert to fraction form
   17,746/38,109 = 38,109/x
3. Step 3: Cross multiply
   17,746x = 38,109 × 38,109
4. Step 4: Simplify right side
   17,746x = 1,452,295,881
5. Step 5: Solve for x
   x = 1,452,295,881/17,746
6. Step 6: Final answer
   x = 81,837.93