Finding the Third Proportional to 25,849 and 55,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,849 : 55,824.50 = 55,824.50 : x
2. Step 2: Convert to fraction form
   25,849/55,824.50 = 55,824.50/x
3. Step 3: Cross multiply
   25,849x = 55,824.50 × 55,824.50
4. Step 4: Simplify right side
   25,849x = 3,116,374,800.25
5. Step 5: Solve for x
   x = 3,116,374,800.25/25,849
6. Step 6: Final answer
   x = 120,560.75