Finding the Third Proportional to 11,759 and 21,853

Step by Step Solution

1. Step 1: Write the proportion equation
   11,759 : 21,853 = 21,853 : x
2. Step 2: Convert to fraction form
   11,759/21,853 = 21,853/x
3. Step 3: Cross multiply
   11,759x = 21,853 × 21,853
4. Step 4: Simplify right side
   11,759x = 477,553,609
5. Step 5: Solve for x
   x = 477,553,609/11,759
6. Step 6: Final answer
   x = 40,611.75