Finding the Third Proportional to 1,056.12 and 1,834.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.12 : 1,834.07 = 1,834.07 : x
2. Step 2: Convert to fraction form
   1,056.12/1,834.07 = 1,834.07/x
3. Step 3: Cross multiply
   1,056.12x = 1,834.07 × 1,834.07
4. Step 4: Simplify right side
   1,056.12x = 3,363,807.64
5. Step 5: Solve for x
   x = 3,363,807.64/1,056.12
6. Step 6: Final answer
   x = 3,185.05