Finding the Third Proportional to 3,742.88 and 5,086.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,742.88 : 5,086.69 = 5,086.69 : x
2. Step 2: Convert to fraction form
   3,742.88/5,086.69 = 5,086.69/x
3. Step 3: Cross multiply
   3,742.88x = 5,086.69 × 5,086.69
4. Step 4: Simplify right side
   3,742.88x = 25,874,389.72
5. Step 5: Solve for x
   x = 25,874,389.72/3,742.88
6. Step 6: Final answer
   x = 6,912.97