Finding the Third Proportional to 5,700 and 10,068

Step by Step Solution

1. Step 1: Write the proportion equation
   5,700 : 10,068 = 10,068 : x
2. Step 2: Convert to fraction form
   5,700/10,068 = 10,068/x
3. Step 3: Cross multiply
   5,700x = 10,068 × 10,068
4. Step 4: Simplify right side
   5,700x = 101,364,624
5. Step 5: Solve for x
   x = 101,364,624/5,700
6. Step 6: Final answer
   x = 17,783.27