Finding the Third Proportional to 1,597.78 and 3,491.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.78 : 3,491.58 = 3,491.58 : x
2. Step 2: Convert to fraction form
   1,597.78/3,491.58 = 3,491.58/x
3. Step 3: Cross multiply
   1,597.78x = 3,491.58 × 3,491.58
4. Step 4: Simplify right side
   1,597.78x = 12,191,117.80
5. Step 5: Solve for x
   x = 12,191,117.80/1,597.78
6. Step 6: Final answer
   x = 7,630.03