Finding the Third Proportional to 3,213.50 and 5,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,213.50 : 5,112.50 = 5,112.50 : x
2. Step 2: Convert to fraction form
   3,213.50/5,112.50 = 5,112.50/x
3. Step 3: Cross multiply
   3,213.50x = 5,112.50 × 5,112.50
4. Step 4: Simplify right side
   3,213.50x = 26,137,656.25
5. Step 5: Solve for x
   x = 26,137,656.25/3,213.50
6. Step 6: Final answer
   x = 8,133.70