Finding the Third Proportional to 3,722.94 and 5,470.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,722.94 : 5,470.56 = 5,470.56 : x
2. Step 2: Convert to fraction form
   3,722.94/5,470.56 = 5,470.56/x
3. Step 3: Cross multiply
   3,722.94x = 5,470.56 × 5,470.56
4. Step 4: Simplify right side
   3,722.94x = 29,927,054.07
5. Step 5: Solve for x
   x = 29,927,054.07/3,722.94
6. Step 6: Final answer
   x = 8,038.56