Finding the Third Proportional to 17,746 and 27,838

Step by Step Solution

1. Step 1: Write the proportion equation
   17,746 : 27,838 = 27,838 : x
2. Step 2: Convert to fraction form
   17,746/27,838 = 27,838/x
3. Step 3: Cross multiply
   17,746x = 27,838 × 27,838
4. Step 4: Simplify right side
   17,746x = 774,954,244
5. Step 5: Solve for x
   x = 774,954,244/17,746
6. Step 6: Final answer
   x = 43,669.23