Finding the Third Proportional to 1,177.69 and 1,894.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177.69 : 1,894.31 = 1,894.31 : x
2. Step 2: Convert to fraction form
   1,177.69/1,894.31 = 1,894.31/x
3. Step 3: Cross multiply
   1,177.69x = 1,894.31 × 1,894.31
4. Step 4: Simplify right side
   1,177.69x = 3,588,419.85
5. Step 5: Solve for x
   x = 3,588,419.85/1,177.69
6. Step 6: Final answer
   x = 3,047.01