Finding the Third Proportional to 1,314.56 and 2,834.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.56 : 2,834.06 = 2,834.06 : x
2. Step 2: Convert to fraction form
   1,314.56/2,834.06 = 2,834.06/x
3. Step 3: Cross multiply
   1,314.56x = 2,834.06 × 2,834.06
4. Step 4: Simplify right side
   1,314.56x = 8,031,910.25
5. Step 5: Solve for x
   x = 8,031,910.25/1,314.56
6. Step 6: Final answer
   x = 6,109.95