Finding the Third Proportional to 25,821 and 53,982

Step by Step Solution

1. Step 1: Write the proportion equation
   25,821 : 53,982 = 53,982 : x
2. Step 2: Convert to fraction form
   25,821/53,982 = 53,982/x
3. Step 3: Cross multiply
   25,821x = 53,982 × 53,982
4. Step 4: Simplify right side
   25,821x = 2,914,056,324
5. Step 5: Solve for x
   x = 2,914,056,324/25,821
6. Step 6: Final answer
   x = 112,856.06