Finding the Third Proportional to 3,760 and 5,364

Step by Step Solution

1. Step 1: Write the proportion equation
   3,760 : 5,364 = 5,364 : x
2. Step 2: Convert to fraction form
   3,760/5,364 = 5,364/x
3. Step 3: Cross multiply
   3,760x = 5,364 × 5,364
4. Step 4: Simplify right side
   3,760x = 28,772,496
5. Step 5: Solve for x
   x = 28,772,496/3,760
6. Step 6: Final answer
   x = 7,652.26