Finding the Third Proportional to 25,878 and 61,131

Step by Step Solution

1. Step 1: Write the proportion equation
   25,878 : 61,131 = 61,131 : x
2. Step 2: Convert to fraction form
   25,878/61,131 = 61,131/x
3. Step 3: Cross multiply
   25,878x = 61,131 × 61,131
4. Step 4: Simplify right side
   25,878x = 3,736,999,161
5. Step 5: Solve for x
   x = 3,736,999,161/25,878
6. Step 6: Final answer
   x = 144,408.35