Finding the Third Proportional to 1,306.31 and 2,812.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,306.31 : 2,812.59 = 2,812.59 : x
2. Step 2: Convert to fraction form
   1,306.31/2,812.59 = 2,812.59/x
3. Step 3: Cross multiply
   1,306.31x = 2,812.59 × 2,812.59
4. Step 4: Simplify right side
   1,306.31x = 7,910,683.60
5. Step 5: Solve for x
   x = 7,910,683.60/1,306.31
6. Step 6: Final answer
   x = 6,055.74