Finding the Third Proportional to 1,164 and 1,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164 : 1,786.50 = 1,786.50 : x
2. Step 2: Convert to fraction form
   1,164/1,786.50 = 1,786.50/x
3. Step 3: Cross multiply
   1,164x = 1,786.50 × 1,786.50
4. Step 4: Simplify right side
   1,164x = 3,191,582.25
5. Step 5: Solve for x
   x = 3,191,582.25/1,164
6. Step 6: Final answer
   x = 2,741.91