Finding the Third Proportional to 3,825 and 5,666.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825 : 5,666.25 = 5,666.25 : x
2. Step 2: Convert to fraction form
   3,825/5,666.25 = 5,666.25/x
3. Step 3: Cross multiply
   3,825x = 5,666.25 × 5,666.25
4. Step 4: Simplify right side
   3,825x = 32,106,389.06
5. Step 5: Solve for x
   x = 32,106,389.06/3,825
6. Step 6: Final answer
   x = 8,393.83