Finding the Third Proportional to 10,278 and 16,074

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278 : 16,074 = 16,074 : x
2. Step 2: Convert to fraction form
   10,278/16,074 = 16,074/x
3. Step 3: Cross multiply
   10,278x = 16,074 × 16,074
4. Step 4: Simplify right side
   10,278x = 258,373,476
5. Step 5: Solve for x
   x = 258,373,476/10,278
6. Step 6: Final answer
   x = 25,138.50