Finding the Third Proportional to 1,219.69 and 1,886.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,219.69 : 1,886.81 = 1,886.81 : x
2. Step 2: Convert to fraction form
   1,219.69/1,886.81 = 1,886.81/x
3. Step 3: Cross multiply
   1,219.69x = 1,886.81 × 1,886.81
4. Step 4: Simplify right side
   1,219.69x = 3,560,061.41
5. Step 5: Solve for x
   x = 3,560,061.41/1,219.69
6. Step 6: Final answer
   x = 2,918.83