Finding the Third Proportional to 1,470.38 and 3,164.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.38 : 3,164.63 = 3,164.63 : x
2. Step 2: Convert to fraction form
   1,470.38/3,164.63 = 3,164.63/x
3. Step 3: Cross multiply
   1,470.38x = 3,164.63 × 3,164.63
4. Step 4: Simplify right side
   1,470.38x = 10,014,851.39
5. Step 5: Solve for x
   x = 10,014,851.39/1,470.38
6. Step 6: Final answer
   x = 6,811.09