Finding the Third Proportional to 1,564.50 and 3,282

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 3,282 = 3,282 : x
2. Step 2: Convert to fraction form
   1,564.50/3,282 = 3,282/x
3. Step 3: Cross multiply
   1,564.50x = 3,282 × 3,282
4. Step 4: Simplify right side
   1,564.50x = 10,771,524
5. Step 5: Solve for x
   x = 10,771,524/1,564.50
6. Step 6: Final answer
   x = 6,884.96