Finding the Third Proportional to 10,644 and 16,340

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644 : 16,340 = 16,340 : x
2. Step 2: Convert to fraction form
   10,644/16,340 = 16,340/x
3. Step 3: Cross multiply
   10,644x = 16,340 × 16,340
4. Step 4: Simplify right side
   10,644x = 266,995,600
5. Step 5: Solve for x
   x = 266,995,600/10,644
6. Step 6: Final answer
   x = 25,084.14