Finding the Third Proportional to 17,838 and 27,711

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 27,711 = 27,711 : x
2. Step 2: Convert to fraction form
   17,838/27,711 = 27,711/x
3. Step 3: Cross multiply
   17,838x = 27,711 × 27,711
4. Step 4: Simplify right side
   17,838x = 767,899,521
5. Step 5: Solve for x
   x = 767,899,521/17,838
6. Step 6: Final answer
   x = 43,048.52