Finding the Third Proportional to 25,825.50 and 38,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,825.50 : 38,738.25 = 38,738.25 : x
2. Step 2: Convert to fraction form
   25,825.50/38,738.25 = 38,738.25/x
3. Step 3: Cross multiply
   25,825.50x = 38,738.25 × 38,738.25
4. Step 4: Simplify right side
   25,825.50x = 1,500,652,013.06
5. Step 5: Solve for x
   x = 1,500,652,013.06/25,825.50
6. Step 6: Final answer
   x = 58,107.38