Finding the Third Proportional to 2,084.63 and 5,036.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.63 : 5,036.63 = 5,036.63 : x
2. Step 2: Convert to fraction form
   2,084.63/5,036.63 = 5,036.63/x
3. Step 3: Cross multiply
   2,084.63x = 5,036.63 × 5,036.63
4. Step 4: Simplify right side
   2,084.63x = 25,367,591.39
5. Step 5: Solve for x
   x = 25,367,591.39/2,084.63
6. Step 6: Final answer
   x = 12,168.90