Finding the Third Proportional to 1,196.02 and 2,597.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.02 : 2,597.06 = 2,597.06 : x
2. Step 2: Convert to fraction form
   1,196.02/2,597.06 = 2,597.06/x
3. Step 3: Cross multiply
   1,196.02x = 2,597.06 × 2,597.06
4. Step 4: Simplify right side
   1,196.02x = 6,744,733.63
5. Step 5: Solve for x
   x = 6,744,733.63/1,196.02
6. Step 6: Final answer
   x = 5,639.34