Finding the Third Proportional to 1,872.81 and 2,886.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,872.81 : 2,886.10 = 2,886.10 : x
2. Step 2: Convert to fraction form
   1,872.81/2,886.10 = 2,886.10/x
3. Step 3: Cross multiply
   1,872.81x = 2,886.10 × 2,886.10
4. Step 4: Simplify right side
   1,872.81x = 8,329,570.96
5. Step 5: Solve for x
   x = 8,329,570.96/1,872.81
6. Step 6: Final answer
   x = 4,447.64