Finding the Third Proportional to 21,694 and 32,456

Step by Step Solution

1. Step 1: Write the proportion equation
   21,694 : 32,456 = 32,456 : x
2. Step 2: Convert to fraction form
   21,694/32,456 = 32,456/x
3. Step 3: Cross multiply
   21,694x = 32,456 × 32,456
4. Step 4: Simplify right side
   21,694x = 1,053,391,936
5. Step 5: Solve for x
   x = 1,053,391,936/21,694
6. Step 6: Final answer
   x = 48,556.83