Finding the Third Proportional to 15,217 and 32,582

Step by Step Solution

1. Step 1: Write the proportion equation
   15,217 : 32,582 = 32,582 : x
2. Step 2: Convert to fraction form
   15,217/32,582 = 32,582/x
3. Step 3: Cross multiply
   15,217x = 32,582 × 32,582
4. Step 4: Simplify right side
   15,217x = 1,061,586,724
5. Step 5: Solve for x
   x = 1,061,586,724/15,217
6. Step 6: Final answer
   x = 69,763.21