Finding the Third Proportional to 1,009.13 and 2,162.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.13 : 2,162.06 = 2,162.06 : x
2. Step 2: Convert to fraction form
   1,009.13/2,162.06 = 2,162.06/x
3. Step 3: Cross multiply
   1,009.13x = 2,162.06 × 2,162.06
4. Step 4: Simplify right side
   1,009.13x = 4,674,514.25
5. Step 5: Solve for x
   x = 4,674,514.25/1,009.13
6. Step 6: Final answer
   x = 4,632.25