Finding the Third Proportional to 25,013.50 and 35,180.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,013.50 : 35,180.25 = 35,180.25 : x
2. Step 2: Convert to fraction form
   25,013.50/35,180.25 = 35,180.25/x
3. Step 3: Cross multiply
   25,013.50x = 35,180.25 × 35,180.25
4. Step 4: Simplify right side
   25,013.50x = 1,237,649,990.06
5. Step 5: Solve for x
   x = 1,237,649,990.06/25,013.50
6. Step 6: Final answer
   x = 49,479.28