Finding the Third Proportional to 10,775.25 and 16,643.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,775.25 : 16,643.25 = 16,643.25 : x
2. Step 2: Convert to fraction form
   10,775.25/16,643.25 = 16,643.25/x
3. Step 3: Cross multiply
   10,775.25x = 16,643.25 × 16,643.25
4. Step 4: Simplify right side
   10,775.25x = 276,997,770.56
5. Step 5: Solve for x
   x = 276,997,770.56/10,775.25
6. Step 6: Final answer
   x = 25,706.85