Finding the Third Proportional to 25,872 and 61,116

Step by Step Solution

1. Step 1: Write the proportion equation
   25,872 : 61,116 = 61,116 : x
2. Step 2: Convert to fraction form
   25,872/61,116 = 61,116/x
3. Step 3: Cross multiply
   25,872x = 61,116 × 61,116
4. Step 4: Simplify right side
   25,872x = 3,735,165,456
5. Step 5: Solve for x
   x = 3,735,165,456/25,872
6. Step 6: Final answer
   x = 144,370.96