Finding the Third Proportional to 2,034.70 and 4,460.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,034.70 : 4,460.27 = 4,460.27 : x
2. Step 2: Convert to fraction form
   2,034.70/4,460.27 = 4,460.27/x
3. Step 3: Cross multiply
   2,034.70x = 4,460.27 × 4,460.27
4. Step 4: Simplify right side
   2,034.70x = 19,894,039.14
5. Step 5: Solve for x
   x = 19,894,039.14/2,034.70
6. Step 6: Final answer
   x = 9,777.37