Finding the Third Proportional to 6,314 and 10,160

Step by Step Solution

1. Step 1: Write the proportion equation
   6,314 : 10,160 = 10,160 : x
2. Step 2: Convert to fraction form
   6,314/10,160 = 10,160/x
3. Step 3: Cross multiply
   6,314x = 10,160 × 10,160
4. Step 4: Simplify right side
   6,314x = 103,225,600
5. Step 5: Solve for x
   x = 103,225,600/6,314
6. Step 6: Final answer
   x = 16,348.69