Finding the Third Proportional to 1,074.94 and 1,829.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.94 : 1,829.53 = 1,829.53 : x
2. Step 2: Convert to fraction form
   1,074.94/1,829.53 = 1,829.53/x
3. Step 3: Cross multiply
   1,074.94x = 1,829.53 × 1,829.53
4. Step 4: Simplify right side
   1,074.94x = 3,347,184.59
5. Step 5: Solve for x
   x = 3,347,184.59/1,074.94
6. Step 6: Final answer
   x = 3,113.84