Finding the Third Proportional to 1,200.23 and 1,834.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.23 : 1,834.52 = 1,834.52 : x
2. Step 2: Convert to fraction form
   1,200.23/1,834.52 = 1,834.52/x
3. Step 3: Cross multiply
   1,200.23x = 1,834.52 × 1,834.52
4. Step 4: Simplify right side
   1,200.23x = 3,365,476.24
5. Step 5: Solve for x
   x = 3,365,476.24/1,200.23
6. Step 6: Final answer
   x = 2,804.02