Finding the Third Proportional to 1,159.69 and 1,834.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.69 : 1,834.88 = 1,834.88 : x
2. Step 2: Convert to fraction form
   1,159.69/1,834.88 = 1,834.88/x
3. Step 3: Cross multiply
   1,159.69x = 1,834.88 × 1,834.88
4. Step 4: Simplify right side
   1,159.69x = 3,366,766.27
5. Step 5: Solve for x
   x = 3,366,766.27/1,159.69
6. Step 6: Final answer
   x = 2,903.17