Finding the Third Proportional to 1,806.19 and 4,196.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,806.19 : 4,196.53 = 4,196.53 : x
2. Step 2: Convert to fraction form
   1,806.19/4,196.53 = 4,196.53/x
3. Step 3: Cross multiply
   1,806.19x = 4,196.53 × 4,196.53
4. Step 4: Simplify right side
   1,806.19x = 17,610,874.53
5. Step 5: Solve for x
   x = 17,610,874.53/1,806.19
6. Step 6: Final answer
   x = 9,750.30