Finding the Third Proportional to 25,353 and 61,002

Step by Step Solution

1. Step 1: Write the proportion equation
   25,353 : 61,002 = 61,002 : x
2. Step 2: Convert to fraction form
   25,353/61,002 = 61,002/x
3. Step 3: Cross multiply
   25,353x = 61,002 × 61,002
4. Step 4: Simplify right side
   25,353x = 3,721,244,004
5. Step 5: Solve for x
   x = 3,721,244,004/25,353
6. Step 6: Final answer
   x = 146,777.27