Finding the Third Proportional to 3,676 and 7,076

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676 : 7,076 = 7,076 : x
2. Step 2: Convert to fraction form
   3,676/7,076 = 7,076/x
3. Step 3: Cross multiply
   3,676x = 7,076 × 7,076
4. Step 4: Simplify right side
   3,676x = 50,069,776
5. Step 5: Solve for x
   x = 50,069,776/3,676
6. Step 6: Final answer
   x = 13,620.72