Finding the Third Proportional to 1,225.97 and 1,834.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,225.97 : 1,834.31 = 1,834.31 : x
2. Step 2: Convert to fraction form
   1,225.97/1,834.31 = 1,834.31/x
3. Step 3: Cross multiply
   1,225.97x = 1,834.31 × 1,834.31
4. Step 4: Simplify right side
   1,225.97x = 3,364,702.35
5. Step 5: Solve for x
   x = 3,364,702.35/1,225.97
6. Step 6: Final answer
   x = 2,744.53