Finding the Third Proportional to 3,408 and 5,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,408 : 5,047.50 = 5,047.50 : x
2. Step 2: Convert to fraction form
   3,408/5,047.50 = 5,047.50/x
3. Step 3: Cross multiply
   3,408x = 5,047.50 × 5,047.50
4. Step 4: Simplify right side
   3,408x = 25,477,256.25
5. Step 5: Solve for x
   x = 25,477,256.25/3,408
6. Step 6: Final answer
   x = 7,475.72