Finding the Third Proportional to 1,197.56 and 2,606.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,197.56 : 2,606.06 = 2,606.06 : x
2. Step 2: Convert to fraction form
   1,197.56/2,606.06 = 2,606.06/x
3. Step 3: Cross multiply
   1,197.56x = 2,606.06 × 2,606.06
4. Step 4: Simplify right side
   1,197.56x = 6,791,561.75
5. Step 5: Solve for x
   x = 6,791,561.75/1,197.56
6. Step 6: Final answer
   x = 5,671.15