Finding the Third Proportional to 1,597.69 and 3,476.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.69 : 3,476.63 = 3,476.63 : x
2. Step 2: Convert to fraction form
   1,597.69/3,476.63 = 3,476.63/x
3. Step 3: Cross multiply
   1,597.69x = 3,476.63 × 3,476.63
4. Step 4: Simplify right side
   1,597.69x = 12,086,921.39
5. Step 5: Solve for x
   x = 12,086,921.39/1,597.69
6. Step 6: Final answer
   x = 7,565.26