Finding the Third Proportional to 1,164.94 and 1,747.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.94 : 1,747.69 = 1,747.69 : x
2. Step 2: Convert to fraction form
   1,164.94/1,747.69 = 1,747.69/x
3. Step 3: Cross multiply
   1,164.94x = 1,747.69 × 1,747.69
4. Step 4: Simplify right side
   1,164.94x = 3,054,411.60
5. Step 5: Solve for x
   x = 3,054,411.60/1,164.94
6. Step 6: Final answer
   x = 2,621.95