Finding the Third Proportional to 825 and 1,947.38

Step by Step Solution

1. Step 1: Write the proportion equation
   825 : 1,947.38 = 1,947.38 : x
2. Step 2: Convert to fraction form
   825/1,947.38 = 1,947.38/x
3. Step 3: Cross multiply
   825x = 1,947.38 × 1,947.38
4. Step 4: Simplify right side
   825x = 3,792,269.39
5. Step 5: Solve for x
   x = 3,792,269.39/825
6. Step 6: Final answer
   x = 4,596.69