Finding the Third Proportional to 10,748 and 16,185

Step by Step Solution

1. Step 1: Write the proportion equation
   10,748 : 16,185 = 16,185 : x
2. Step 2: Convert to fraction form
   10,748/16,185 = 16,185/x
3. Step 3: Cross multiply
   10,748x = 16,185 × 16,185
4. Step 4: Simplify right side
   10,748x = 261,954,225
5. Step 5: Solve for x
   x = 261,954,225/10,748
6. Step 6: Final answer
   x = 24,372.37