Finding the Third Proportional to 1,705.88 and 2,194.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.88 : 2,194.31 = 2,194.31 : x
2. Step 2: Convert to fraction form
   1,705.88/2,194.31 = 2,194.31/x
3. Step 3: Cross multiply
   1,705.88x = 2,194.31 × 2,194.31
4. Step 4: Simplify right side
   1,705.88x = 4,815,007.35
5. Step 5: Solve for x
   x = 4,815,007.35/1,705.88
6. Step 6: Final answer
   x = 2,822.60