Finding the Third Proportional to 1,524.13 and 3,267.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.13 : 3,267.21 = 3,267.21 : x
2. Step 2: Convert to fraction form
   1,524.13/3,267.21 = 3,267.21/x
3. Step 3: Cross multiply
   1,524.13x = 3,267.21 × 3,267.21
4. Step 4: Simplify right side
   1,524.13x = 10,674,667.31
5. Step 5: Solve for x
   x = 10,674,667.31/1,524.13
6. Step 6: Final answer
   x = 7,003.78