Finding the Third Proportional to 1,006.13 and 1,470.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.13 : 1,470.56 = 1,470.56 : x
2. Step 2: Convert to fraction form
   1,006.13/1,470.56 = 1,470.56/x
3. Step 3: Cross multiply
   1,006.13x = 1,470.56 × 1,470.56
4. Step 4: Simplify right side
   1,006.13x = 2,162,554.07
5. Step 5: Solve for x
   x = 2,162,554.07/1,006.13
6. Step 6: Final answer
   x = 2,149.39