Finding the Third Proportional to 2,068.50 and 3,194.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,068.50 : 3,194.25 = 3,194.25 : x
2. Step 2: Convert to fraction form
   2,068.50/3,194.25 = 3,194.25/x
3. Step 3: Cross multiply
   2,068.50x = 3,194.25 × 3,194.25
4. Step 4: Simplify right side
   2,068.50x = 10,203,233.06
5. Step 5: Solve for x
   x = 10,203,233.06/2,068.50
6. Step 6: Final answer
   x = 4,932.67