Finding the Third Proportional to 2,342.81 and 5,009.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,342.81 : 5,009.06 = 5,009.06 : x
2. Step 2: Convert to fraction form
   2,342.81/5,009.06 = 5,009.06/x
3. Step 3: Cross multiply
   2,342.81x = 5,009.06 × 5,009.06
4. Step 4: Simplify right side
   2,342.81x = 25,090,707.13
5. Step 5: Solve for x
   x = 25,090,707.13/2,342.81
6. Step 6: Final answer
   x = 10,709.65