Finding the Third Proportional to 2,546 and 5,322

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546 : 5,322 = 5,322 : x
2. Step 2: Convert to fraction form
   2,546/5,322 = 5,322/x
3. Step 3: Cross multiply
   2,546x = 5,322 × 5,322
4. Step 4: Simplify right side
   2,546x = 28,323,684
5. Step 5: Solve for x
   x = 28,323,684/2,546
6. Step 6: Final answer
   x = 11,124.78