Finding the Third Proportional to 21,353 and 32,546

Step by Step Solution

1. Step 1: Write the proportion equation
   21,353 : 32,546 = 32,546 : x
2. Step 2: Convert to fraction form
   21,353/32,546 = 32,546/x
3. Step 3: Cross multiply
   21,353x = 32,546 × 32,546
4. Step 4: Simplify right side
   21,353x = 1,059,242,116
5. Step 5: Solve for x
   x = 1,059,242,116/21,353
6. Step 6: Final answer
   x = 49,606.24