Finding the Third Proportional to 3,415.50 and 5,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,415.50 : 5,214.50 = 5,214.50 : x
2. Step 2: Convert to fraction form
   3,415.50/5,214.50 = 5,214.50/x
3. Step 3: Cross multiply
   3,415.50x = 5,214.50 × 5,214.50
4. Step 4: Simplify right side
   3,415.50x = 27,191,010.25
5. Step 5: Solve for x
   x = 27,191,010.25/3,415.50
6. Step 6: Final answer
   x = 7,961.06