Finding the Third Proportional to 3,484 and 5,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,484 : 5,114.50 = 5,114.50 : x
2. Step 2: Convert to fraction form
   3,484/5,114.50 = 5,114.50/x
3. Step 3: Cross multiply
   3,484x = 5,114.50 × 5,114.50
4. Step 4: Simplify right side
   3,484x = 26,158,110.25
5. Step 5: Solve for x
   x = 26,158,110.25/3,484
6. Step 6: Final answer
   x = 7,508.07