Finding the Third Proportional to 1,164.09 and 2,389.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.09 : 2,389.78 = 2,389.78 : x
2. Step 2: Convert to fraction form
   1,164.09/2,389.78 = 2,389.78/x
3. Step 3: Cross multiply
   1,164.09x = 2,389.78 × 2,389.78
4. Step 4: Simplify right side
   1,164.09x = 5,711,054.42
5. Step 5: Solve for x
   x = 5,711,054.42/1,164.09
6. Step 6: Final answer
   x = 4,906.01