Finding the Third Proportional to 10,795.78 and 16,361.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,795.78 : 16,361.37 = 16,361.37 : x
2. Step 2: Convert to fraction form
   10,795.78/16,361.37 = 16,361.37/x
3. Step 3: Cross multiply
   10,795.78x = 16,361.37 × 16,361.37
4. Step 4: Simplify right side
   10,795.78x = 267,694,336.24
5. Step 5: Solve for x
   x = 267,694,336.24/10,795.78
6. Step 6: Final answer
   x = 24,796.20