Finding the Third Proportional to 1,936.50 and 2,823.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,936.50 : 2,823.38 = 2,823.38 : x
2. Step 2: Convert to fraction form
   1,936.50/2,823.38 = 2,823.38/x
3. Step 3: Cross multiply
   1,936.50x = 2,823.38 × 2,823.38
4. Step 4: Simplify right side
   1,936.50x = 7,971,446.39
5. Step 5: Solve for x
   x = 7,971,446.39/1,936.50
6. Step 6: Final answer
   x = 4,116.42