Finding the Third Proportional to 3,415 and 5,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,415 : 5,100.50 = 5,100.50 : x
2. Step 2: Convert to fraction form
   3,415/5,100.50 = 5,100.50/x
3. Step 3: Cross multiply
   3,415x = 5,100.50 × 5,100.50
4. Step 4: Simplify right side
   3,415x = 26,015,100.25
5. Step 5: Solve for x
   x = 26,015,100.25/3,415
6. Step 6: Final answer
   x = 7,617.89