Finding the Third Proportional to 15,838.50 and 25,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,838.50 : 25,078.50 = 25,078.50 : x
2. Step 2: Convert to fraction form
   15,838.50/25,078.50 = 25,078.50/x
3. Step 3: Cross multiply
   15,838.50x = 25,078.50 × 25,078.50
4. Step 4: Simplify right side
   15,838.50x = 628,931,162.25
5. Step 5: Solve for x
   x = 628,931,162.25/15,838.50
6. Step 6: Final answer
   x = 39,709.01