Finding the Third Proportional to 22,576 and 35,664

Step by Step Solution

1. Step 1: Write the proportion equation
   22,576 : 35,664 = 35,664 : x
2. Step 2: Convert to fraction form
   22,576/35,664 = 35,664/x
3. Step 3: Cross multiply
   22,576x = 35,664 × 35,664
4. Step 4: Simplify right side
   22,576x = 1,271,920,896
5. Step 5: Solve for x
   x = 1,271,920,896/22,576
6. Step 6: Final answer
   x = 56,339.52