Finding the Third Proportional to 3,402 and 5,148.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,402 : 5,148.56 = 5,148.56 : x
2. Step 2: Convert to fraction form
   3,402/5,148.56 = 5,148.56/x
3. Step 3: Cross multiply
   3,402x = 5,148.56 × 5,148.56
4. Step 4: Simplify right side
   3,402x = 26,507,695.82
5. Step 5: Solve for x
   x = 26,507,695.82/3,402
6. Step 6: Final answer
   x = 7,791.80