Finding the Third Proportional to 25,960.50 and 35,726.06

Step by Step Solution

1. Step 1: Write the proportion equation
   25,960.50 : 35,726.06 = 35,726.06 : x
2. Step 2: Convert to fraction form
   25,960.50/35,726.06 = 35,726.06/x
3. Step 3: Cross multiply
   25,960.50x = 35,726.06 × 35,726.06
4. Step 4: Simplify right side
   25,960.50x = 1,276,351,541.75
5. Step 5: Solve for x
   x = 1,276,351,541.75/25,960.50
6. Step 6: Final answer
   x = 49,165.14