Finding the Third Proportional to 25,865 and 39,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,865 : 39,013.50 = 39,013.50 : x
2. Step 2: Convert to fraction form
   25,865/39,013.50 = 39,013.50/x
3. Step 3: Cross multiply
   25,865x = 39,013.50 × 39,013.50
4. Step 4: Simplify right side
   25,865x = 1,522,053,182.25
5. Step 5: Solve for x
   x = 1,522,053,182.25/25,865
6. Step 6: Final answer
   x = 58,846.05