Finding the Third Proportional to 2,139.25 and 3,194.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,139.25 : 3,194.63 = 3,194.63 : x
2. Step 2: Convert to fraction form
   2,139.25/3,194.63 = 3,194.63/x
3. Step 3: Cross multiply
   2,139.25x = 3,194.63 × 3,194.63
4. Step 4: Simplify right side
   2,139.25x = 10,205,628.89
5. Step 5: Solve for x
   x = 10,205,628.89/2,139.25
6. Step 6: Final answer
   x = 4,770.66