Finding the Third Proportional to 10,784 and 16,476

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 16,476 = 16,476 : x
2. Step 2: Convert to fraction form
   10,784/16,476 = 16,476/x
3. Step 3: Cross multiply
   10,784x = 16,476 × 16,476
4. Step 4: Simplify right side
   10,784x = 271,458,576
5. Step 5: Solve for x
   x = 271,458,576/10,784
6. Step 6: Final answer
   x = 25,172.35