Finding the Third Proportional to 3,788 and 7,100

Step by Step Solution

1. Step 1: Write the proportion equation
   3,788 : 7,100 = 7,100 : x
2. Step 2: Convert to fraction form
   3,788/7,100 = 7,100/x
3. Step 3: Cross multiply
   3,788x = 7,100 × 7,100
4. Step 4: Simplify right side
   3,788x = 50,410,000
5. Step 5: Solve for x
   x = 50,410,000/3,788
6. Step 6: Final answer
   x = 13,307.81