Finding the Third Proportional to 1,863 and 4,834.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,863 : 4,834.69 = 4,834.69 : x
2. Step 2: Convert to fraction form
   1,863/4,834.69 = 4,834.69/x
3. Step 3: Cross multiply
   1,863x = 4,834.69 × 4,834.69
4. Step 4: Simplify right side
   1,863x = 23,374,203.22
5. Step 5: Solve for x
   x = 23,374,203.22/1,863
6. Step 6: Final answer
   x = 12,546.54