Finding the Third Proportional to 1,597.88 and 3,456.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.88 : 3,456.38 = 3,456.38 : x
2. Step 2: Convert to fraction form
   1,597.88/3,456.38 = 3,456.38/x
3. Step 3: Cross multiply
   1,597.88x = 3,456.38 × 3,456.38
4. Step 4: Simplify right side
   1,597.88x = 11,946,528.14
5. Step 5: Solve for x
   x = 11,946,528.14/1,597.88
6. Step 6: Final answer
   x = 7,476.51