Finding the Third Proportional to 25,616 and 61,998

Step by Step Solution

1. Step 1: Write the proportion equation
   25,616 : 61,998 = 61,998 : x
2. Step 2: Convert to fraction form
   25,616/61,998 = 61,998/x
3. Step 3: Cross multiply
   25,616x = 61,998 × 61,998
4. Step 4: Simplify right side
   25,616x = 3,843,752,004
5. Step 5: Solve for x
   x = 3,843,752,004/25,616
6. Step 6: Final answer
   x = 150,052.78