Finding the Third Proportional to 1,806.84 and 4,180.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,806.84 : 4,180.72 = 4,180.72 : x
2. Step 2: Convert to fraction form
   1,806.84/4,180.72 = 4,180.72/x
3. Step 3: Cross multiply
   1,806.84x = 4,180.72 × 4,180.72
4. Step 4: Simplify right side
   1,806.84x = 17,478,380.69
5. Step 5: Solve for x
   x = 17,478,380.69/1,806.84
6. Step 6: Final answer
   x = 9,673.46