Finding the Third Proportional to 1,196.44 and 2,597.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.44 : 2,597.91 = 2,597.91 : x
2. Step 2: Convert to fraction form
   1,196.44/2,597.91 = 2,597.91/x
3. Step 3: Cross multiply
   1,196.44x = 2,597.91 × 2,597.91
4. Step 4: Simplify right side
   1,196.44x = 6,749,116.88
5. Step 5: Solve for x
   x = 6,749,116.88/1,196.44
6. Step 6: Final answer
   x = 5,641.01