Finding the Third Proportional to 21,643 and 34,242

Step by Step Solution

1. Step 1: Write the proportion equation
   21,643 : 34,242 = 34,242 : x
2. Step 2: Convert to fraction form
   21,643/34,242 = 34,242/x
3. Step 3: Cross multiply
   21,643x = 34,242 × 34,242
4. Step 4: Simplify right side
   21,643x = 1,172,514,564
5. Step 5: Solve for x
   x = 1,172,514,564/21,643
6. Step 6: Final answer
   x = 54,175.23