Finding the Third Proportional to 1,705.31 and 2,314.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.31 : 2,314.69 = 2,314.69 : x
2. Step 2: Convert to fraction form
   1,705.31/2,314.69 = 2,314.69/x
3. Step 3: Cross multiply
   1,705.31x = 2,314.69 × 2,314.69
4. Step 4: Simplify right side
   1,705.31x = 5,357,778.22
5. Step 5: Solve for x
   x = 5,357,778.22/1,705.31
6. Step 6: Final answer
   x = 3,141.82