Finding the Third Proportional to 1,164.69 and 1,834.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.69 : 1,834.37 = 1,834.37 : x
2. Step 2: Convert to fraction form
   1,164.69/1,834.37 = 1,834.37/x
3. Step 3: Cross multiply
   1,164.69x = 1,834.37 × 1,834.37
4. Step 4: Simplify right side
   1,164.69x = 3,364,895.81
5. Step 5: Solve for x
   x = 3,364,895.81/1,164.69
6. Step 6: Final answer
   x = 2,889.09