Finding the Third Proportional to 21,746 and 34,563

Step by Step Solution

1. Step 1: Write the proportion equation
   21,746 : 34,563 = 34,563 : x
2. Step 2: Convert to fraction form
   21,746/34,563 = 34,563/x
3. Step 3: Cross multiply
   21,746x = 34,563 × 34,563
4. Step 4: Simplify right side
   21,746x = 1,194,600,969
5. Step 5: Solve for x
   x = 1,194,600,969/21,746
6. Step 6: Final answer
   x = 54,934.29