Finding the Third Proportional to 6,458 and 7,066

Step by Step Solution

1. Step 1: Write the proportion equation
   6,458 : 7,066 = 7,066 : x
2. Step 2: Convert to fraction form
   6,458/7,066 = 7,066/x
3. Step 3: Cross multiply
   6,458x = 7,066 × 7,066
4. Step 4: Simplify right side
   6,458x = 49,928,356
5. Step 5: Solve for x
   x = 49,928,356/6,458
6. Step 6: Final answer
   x = 7,731.24