Finding the Third Proportional to 23,152 and 35,872

Step by Step Solution

1. Step 1: Write the proportion equation
   23,152 : 35,872 = 35,872 : x
2. Step 2: Convert to fraction form
   23,152/35,872 = 35,872/x
3. Step 3: Cross multiply
   23,152x = 35,872 × 35,872
4. Step 4: Simplify right side
   23,152x = 1,286,800,384
5. Step 5: Solve for x
   x = 1,286,800,384/23,152
6. Step 6: Final answer
   x = 55,580.53