Finding the Third Proportional to 3,695 and 5,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,695 : 5,404.75 = 5,404.75 : x
2. Step 2: Convert to fraction form
   3,695/5,404.75 = 5,404.75/x
3. Step 3: Cross multiply
   3,695x = 5,404.75 × 5,404.75
4. Step 4: Simplify right side
   3,695x = 29,211,322.56
5. Step 5: Solve for x
   x = 29,211,322.56/3,695
6. Step 6: Final answer
   x = 7,905.64