Finding the Third Proportional to 5,300 and 7,066

Step by Step Solution

1. Step 1: Write the proportion equation
   5,300 : 7,066 = 7,066 : x
2. Step 2: Convert to fraction form
   5,300/7,066 = 7,066/x
3. Step 3: Cross multiply
   5,300x = 7,066 × 7,066
4. Step 4: Simplify right side
   5,300x = 49,928,356
5. Step 5: Solve for x
   x = 49,928,356/5,300
6. Step 6: Final answer
   x = 9,420.44