Finding the Third Proportional to 10,664 and 19,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,664 : 19,632 = 19,632 : x
2. Step 2: Convert to fraction form
   10,664/19,632 = 19,632/x
3. Step 3: Cross multiply
   10,664x = 19,632 × 19,632
4. Step 4: Simplify right side
   10,664x = 385,415,424
5. Step 5: Solve for x
   x = 385,415,424/10,664
6. Step 6: Final answer
   x = 36,141.73