Finding the Third Proportional to 3,101.63 and 4,591.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,101.63 : 4,591.69 = 4,591.69 : x
2. Step 2: Convert to fraction form
   3,101.63/4,591.69 = 4,591.69/x
3. Step 3: Cross multiply
   3,101.63x = 4,591.69 × 4,591.69
4. Step 4: Simplify right side
   3,101.63x = 21,083,594.10
5. Step 5: Solve for x
   x = 21,083,594.10/3,101.63
6. Step 6: Final answer
   x = 6,797.60