Finding the Third Proportional to 10,777.25 and 16,726.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.25 : 16,726.25 = 16,726.25 : x
2. Step 2: Convert to fraction form
   10,777.25/16,726.25 = 16,726.25/x
3. Step 3: Cross multiply
   10,777.25x = 16,726.25 × 16,726.25
4. Step 4: Simplify right side
   10,777.25x = 279,767,439.06
5. Step 5: Solve for x
   x = 279,767,439.06/10,777.25
6. Step 6: Final answer
   x = 25,959.07