Finding the Third Proportional to 19,632 and 42,564

Step by Step Solution

1. Step 1: Write the proportion equation
   19,632 : 42,564 = 42,564 : x
2. Step 2: Convert to fraction form
   19,632/42,564 = 42,564/x
3. Step 3: Cross multiply
   19,632x = 42,564 × 42,564
4. Step 4: Simplify right side
   19,632x = 1,811,694,096
5. Step 5: Solve for x
   x = 1,811,694,096/19,632
6. Step 6: Final answer
   x = 92,282.71