Finding the Third Proportional to 25,439 and 37,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,439 : 37,396.50 = 37,396.50 : x
2. Step 2: Convert to fraction form
   25,439/37,396.50 = 37,396.50/x
3. Step 3: Cross multiply
   25,439x = 37,396.50 × 37,396.50
4. Step 4: Simplify right side
   25,439x = 1,398,498,212.25
5. Step 5: Solve for x
   x = 1,398,498,212.25/25,439
6. Step 6: Final answer
   x = 54,974.57