Finding the Third Proportional to 1,860.38 and 2,814.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,860.38 : 2,814.63 = 2,814.63 : x
2. Step 2: Convert to fraction form
   1,860.38/2,814.63 = 2,814.63/x
3. Step 3: Cross multiply
   1,860.38x = 2,814.63 × 2,814.63
4. Step 4: Simplify right side
   1,860.38x = 7,922,113.89
5. Step 5: Solve for x
   x = 7,922,113.89/1,860.38
6. Step 6: Final answer
   x = 4,258.34