Finding the Third Proportional to 1,408.22 and 3,264.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.22 : 3,264.05 = 3,264.05 : x
2. Step 2: Convert to fraction form
   1,408.22/3,264.05 = 3,264.05/x
3. Step 3: Cross multiply
   1,408.22x = 3,264.05 × 3,264.05
4. Step 4: Simplify right side
   1,408.22x = 10,654,002.00
5. Step 5: Solve for x
   x = 10,654,002.00/1,408.22
6. Step 6: Final answer
   x = 7,565.59