Finding the Third Proportional to 2,542.50 and 3,213

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.50 : 3,213 = 3,213 : x
2. Step 2: Convert to fraction form
   2,542.50/3,213 = 3,213/x
3. Step 3: Cross multiply
   2,542.50x = 3,213 × 3,213
4. Step 4: Simplify right side
   2,542.50x = 10,323,369
5. Step 5: Solve for x
   x = 10,323,369/2,542.50
6. Step 6: Final answer
   x = 4,060.32