Finding the Third Proportional to 25,839 and 53,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,839 : 53,338.50 = 53,338.50 : x
2. Step 2: Convert to fraction form
   25,839/53,338.50 = 53,338.50/x
3. Step 3: Cross multiply
   25,839x = 53,338.50 × 53,338.50
4. Step 4: Simplify right side
   25,839x = 2,844,995,582.25
5. Step 5: Solve for x
   x = 2,844,995,582.25/25,839
6. Step 6: Final answer
   x = 110,104.71