Finding the Third Proportional to 21,546 and 32,341

Step by Step Solution

1. Step 1: Write the proportion equation
   21,546 : 32,341 = 32,341 : x
2. Step 2: Convert to fraction form
   21,546/32,341 = 32,341/x
3. Step 3: Cross multiply
   21,546x = 32,341 × 32,341
4. Step 4: Simplify right side
   21,546x = 1,045,940,281
5. Step 5: Solve for x
   x = 1,045,940,281/21,546
6. Step 6: Final answer
   x = 48,544.52