Finding the Third Proportional to 1,368.50 and 1,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,368.50 : 1,834.25 = 1,834.25 : x
2. Step 2: Convert to fraction form
   1,368.50/1,834.25 = 1,834.25/x
3. Step 3: Cross multiply
   1,368.50x = 1,834.25 × 1,834.25
4. Step 4: Simplify right side
   1,368.50x = 3,364,473.06
5. Step 5: Solve for x
   x = 3,364,473.06/1,368.50
6. Step 6: Final answer
   x = 2,458.51