Finding the Third Proportional to 3,738 and 7,012

Step by Step Solution

1. Step 1: Write the proportion equation
   3,738 : 7,012 = 7,012 : x
2. Step 2: Convert to fraction form
   3,738/7,012 = 7,012/x
3. Step 3: Cross multiply
   3,738x = 7,012 × 7,012
4. Step 4: Simplify right side
   3,738x = 49,168,144
5. Step 5: Solve for x
   x = 49,168,144/3,738
6. Step 6: Final answer
   x = 13,153.60