Finding the Third Proportional to 1,642.31 and 2,309.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.31 : 2,309.81 = 2,309.81 : x
2. Step 2: Convert to fraction form
   1,642.31/2,309.81 = 2,309.81/x
3. Step 3: Cross multiply
   1,642.31x = 2,309.81 × 2,309.81
4. Step 4: Simplify right side
   1,642.31x = 5,335,233.79
5. Step 5: Solve for x
   x = 5,335,233.79/1,642.31
6. Step 6: Final answer
   x = 3,248.61