Finding the Third Proportional to 25,821 and 55,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,821 : 55,408.50 = 55,408.50 : x
2. Step 2: Convert to fraction form
   25,821/55,408.50 = 55,408.50/x
3. Step 3: Cross multiply
   25,821x = 55,408.50 × 55,408.50
4. Step 4: Simplify right side
   25,821x = 3,070,101,872.25
5. Step 5: Solve for x
   x = 3,070,101,872.25/25,821
6. Step 6: Final answer
   x = 118,899.42