Finding the Third Proportional to 1,524.23 and 3,245.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.23 : 3,245.48 = 3,245.48 : x
2. Step 2: Convert to fraction form
   1,524.23/3,245.48 = 3,245.48/x
3. Step 3: Cross multiply
   1,524.23x = 3,245.48 × 3,245.48
4. Step 4: Simplify right side
   1,524.23x = 10,533,168.83
5. Step 5: Solve for x
   x = 10,533,168.83/1,524.23
6. Step 6: Final answer
   x = 6,910.47