Finding the Third Proportional to 1,470.06 and 2,251.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.06 : 2,251.94 = 2,251.94 : x
2. Step 2: Convert to fraction form
   1,470.06/2,251.94 = 2,251.94/x
3. Step 3: Cross multiply
   1,470.06x = 2,251.94 × 2,251.94
4. Step 4: Simplify right side
   1,470.06x = 5,071,222.50
5. Step 5: Solve for x
   x = 5,071,222.50/1,470.06
6. Step 6: Final answer
   x = 3,449.66