Finding the Third Proportional to 25,614 and 61,992

Step by Step Solution

1. Step 1: Write the proportion equation
   25,614 : 61,992 = 61,992 : x
2. Step 2: Convert to fraction form
   25,614/61,992 = 61,992/x
3. Step 3: Cross multiply
   25,614x = 61,992 × 61,992
4. Step 4: Simplify right side
   25,614x = 3,843,008,064
5. Step 5: Solve for x
   x = 3,843,008,064/25,614
6. Step 6: Final answer
   x = 150,035.45