Finding the Third Proportional to 1,301.91 and 2,856.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.91 : 2,856.09 = 2,856.09 : x
2. Step 2: Convert to fraction form
   1,301.91/2,856.09 = 2,856.09/x
3. Step 3: Cross multiply
   1,301.91x = 2,856.09 × 2,856.09
4. Step 4: Simplify right side
   1,301.91x = 8,157,271.51
5. Step 5: Solve for x
   x = 8,157,271.51/1,301.91
6. Step 6: Final answer
   x = 6,265.64