Finding the Third Proportional to 1,153.69 and 1,834.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.69 : 1,834.03 = 1,834.03 : x
2. Step 2: Convert to fraction form
   1,153.69/1,834.03 = 1,834.03/x
3. Step 3: Cross multiply
   1,153.69x = 1,834.03 × 1,834.03
4. Step 4: Simplify right side
   1,153.69x = 3,363,670.63
5. Step 5: Solve for x
   x = 3,363,670.63/1,153.69
6. Step 6: Final answer
   x = 2,915.58