Finding the Third Proportional to 25,862 and 39,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,862 : 39,544.50 = 39,544.50 : x
2. Step 2: Convert to fraction form
   25,862/39,544.50 = 39,544.50/x
3. Step 3: Cross multiply
   25,862x = 39,544.50 × 39,544.50
4. Step 4: Simplify right side
   25,862x = 1,563,767,480.25
5. Step 5: Solve for x
   x = 1,563,767,480.25/25,862
6. Step 6: Final answer
   x = 60,465.84