Finding the Third Proportional to 3,726 and 5,310

Step by Step Solution

1. Step 1: Write the proportion equation
   3,726 : 5,310 = 5,310 : x
2. Step 2: Convert to fraction form
   3,726/5,310 = 5,310/x
3. Step 3: Cross multiply
   3,726x = 5,310 × 5,310
4. Step 4: Simplify right side
   3,726x = 28,196,100
5. Step 5: Solve for x
   x = 28,196,100/3,726
6. Step 6: Final answer
   x = 7,567.39