Finding the Third Proportional to 1,824.56 and 3,941.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.56 : 3,941.05 = 3,941.05 : x
2. Step 2: Convert to fraction form
   1,824.56/3,941.05 = 3,941.05/x
3. Step 3: Cross multiply
   1,824.56x = 3,941.05 × 3,941.05
4. Step 4: Simplify right side
   1,824.56x = 15,531,835.80
5. Step 5: Solve for x
   x = 15,531,835.80/1,824.56
6. Step 6: Final answer
   x = 8,512.66