Finding the Third Proportional to 23,800 and 35,664

Step by Step Solution

1. Step 1: Write the proportion equation
   23,800 : 35,664 = 35,664 : x
2. Step 2: Convert to fraction form
   23,800/35,664 = 35,664/x
3. Step 3: Cross multiply
   23,800x = 35,664 × 35,664
4. Step 4: Simplify right side
   23,800x = 1,271,920,896
5. Step 5: Solve for x
   x = 1,271,920,896/23,800
6. Step 6: Final answer
   x = 53,442.05