Finding the Third Proportional to 1,189.37 and 2,606.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.37 : 2,606.55 = 2,606.55 : x
2. Step 2: Convert to fraction form
   1,189.37/2,606.55 = 2,606.55/x
3. Step 3: Cross multiply
   1,189.37x = 2,606.55 × 2,606.55
4. Step 4: Simplify right side
   1,189.37x = 6,794,127.34
5. Step 5: Solve for x
   x = 6,794,127.34/1,189.37
6. Step 6: Final answer
   x = 5,712.37