Finding the Third Proportional to 23,424 and 35,832

Step by Step Solution

1. Step 1: Write the proportion equation
   23,424 : 35,832 = 35,832 : x
2. Step 2: Convert to fraction form
   23,424/35,832 = 35,832/x
3. Step 3: Cross multiply
   23,424x = 35,832 × 35,832
4. Step 4: Simplify right side
   23,424x = 1,283,932,224
5. Step 5: Solve for x
   x = 1,283,932,224/23,424
6. Step 6: Final answer
   x = 54,812.68