Finding the Third Proportional to 25,823.81 and 39,874.78

Step by Step Solution

1. Step 1: Write the proportion equation
   25,823.81 : 39,874.78 = 39,874.78 : x
2. Step 2: Convert to fraction form
   25,823.81/39,874.78 = 39,874.78/x
3. Step 3: Cross multiply
   25,823.81x = 39,874.78 × 39,874.78
4. Step 4: Simplify right side
   25,823.81x = 1,589,998,179.74
5. Step 5: Solve for x
   x = 1,589,998,179.74/25,823.81
6. Step 6: Final answer
   x = 61,571.01