Finding the Third Proportional to 10,735 and 16,507

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735 : 16,507 = 16,507 : x
2. Step 2: Convert to fraction form
   10,735/16,507 = 16,507/x
3. Step 3: Cross multiply
   10,735x = 16,507 × 16,507
4. Step 4: Simplify right side
   10,735x = 272,481,049
5. Step 5: Solve for x
   x = 272,481,049/10,735
6. Step 6: Final answer
   x = 25,382.49