Finding the Third Proportional to 1,591.31 and 3,506.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.31 : 3,506.63 = 3,506.63 : x
2. Step 2: Convert to fraction form
   1,591.31/3,506.63 = 3,506.63/x
3. Step 3: Cross multiply
   1,591.31x = 3,506.63 × 3,506.63
4. Step 4: Simplify right side
   1,591.31x = 12,296,418.89
5. Step 5: Solve for x
   x = 12,296,418.89/1,591.31
6. Step 6: Final answer
   x = 7,727.22