Finding the Third Proportional to 21,505 and 32,582

Step by Step Solution

1. Step 1: Write the proportion equation
   21,505 : 32,582 = 32,582 : x
2. Step 2: Convert to fraction form
   21,505/32,582 = 32,582/x
3. Step 3: Cross multiply
   21,505x = 32,582 × 32,582
4. Step 4: Simplify right side
   21,505x = 1,061,586,724
5. Step 5: Solve for x
   x = 1,061,586,724/21,505
6. Step 6: Final answer
   x = 49,364.65