Finding the Third Proportional to 1,591.69 and 3,507.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.69 : 3,507.38 = 3,507.38 : x
2. Step 2: Convert to fraction form
   1,591.69/3,507.38 = 3,507.38/x
3. Step 3: Cross multiply
   1,591.69x = 3,507.38 × 3,507.38
4. Step 4: Simplify right side
   1,591.69x = 12,301,679.39
5. Step 5: Solve for x
   x = 12,301,679.39/1,591.69
6. Step 6: Final answer
   x = 7,728.70