Finding the Third Proportional to 25,608 and 61,536

Step by Step Solution

1. Step 1: Write the proportion equation
   25,608 : 61,536 = 61,536 : x
2. Step 2: Convert to fraction form
   25,608/61,536 = 61,536/x
3. Step 3: Cross multiply
   25,608x = 61,536 × 61,536
4. Step 4: Simplify right side
   25,608x = 3,786,679,296
5. Step 5: Solve for x
   x = 3,786,679,296/25,608
6. Step 6: Final answer
   x = 147,870.95