Finding the Third Proportional to 25,839 and 38,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,839 : 38,974.50 = 38,974.50 : x
2. Step 2: Convert to fraction form
   25,839/38,974.50 = 38,974.50/x
3. Step 3: Cross multiply
   25,839x = 38,974.50 × 38,974.50
4. Step 4: Simplify right side
   25,839x = 1,519,011,650.25
5. Step 5: Solve for x
   x = 1,519,011,650.25/25,839
6. Step 6: Final answer
   x = 58,787.56