Finding the Third Proportional to 5,389.03 and 5,935.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,389.03 : 5,935.78 = 5,935.78 : x
2. Step 2: Convert to fraction form
   5,389.03/5,935.78 = 5,935.78/x
3. Step 3: Cross multiply
   5,389.03x = 5,935.78 × 5,935.78
4. Step 4: Simplify right side
   5,389.03x = 35,233,499.05
5. Step 5: Solve for x
   x = 35,233,499.05/5,389.03
6. Step 6: Final answer
   x = 6,538.00