Finding the Third Proportional to 1,300.22 and 2,809.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.22 : 2,809.27 = 2,809.27 : x
2. Step 2: Convert to fraction form
   1,300.22/2,809.27 = 2,809.27/x
3. Step 3: Cross multiply
   1,300.22x = 2,809.27 × 2,809.27
4. Step 4: Simplify right side
   1,300.22x = 7,891,973.35
5. Step 5: Solve for x
   x = 7,891,973.35/1,300.22
6. Step 6: Final answer
   x = 6,069.73