Finding the Third Proportional to 1,597.94 and 3,494.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.94 : 3,494.88 = 3,494.88 : x
2. Step 2: Convert to fraction form
   1,597.94/3,494.88 = 3,494.88/x
3. Step 3: Cross multiply
   1,597.94x = 3,494.88 × 3,494.88
4. Step 4: Simplify right side
   1,597.94x = 12,214,151.27
5. Step 5: Solve for x
   x = 12,214,151.27/1,597.94
6. Step 6: Final answer
   x = 7,643.70