Finding the Third Proportional to 10,564 and 18,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 18,632 = 18,632 : x
2. Step 2: Convert to fraction form
   10,564/18,632 = 18,632/x
3. Step 3: Cross multiply
   10,564x = 18,632 × 18,632
4. Step 4: Simplify right side
   10,564x = 347,151,424
5. Step 5: Solve for x
   x = 347,151,424/10,564
6. Step 6: Final answer
   x = 32,861.74