Finding the Third Proportional to 25,992 and 59,832

Step by Step Solution

1. Step 1: Write the proportion equation
   25,992 : 59,832 = 59,832 : x
2. Step 2: Convert to fraction form
   25,992/59,832 = 59,832/x
3. Step 3: Cross multiply
   25,992x = 59,832 × 59,832
4. Step 4: Simplify right side
   25,992x = 3,579,868,224
5. Step 5: Solve for x
   x = 3,579,868,224/25,992
6. Step 6: Final answer
   x = 137,729.62