Finding the Third Proportional to 1,846.31 and 2,859.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,846.31 : 2,859.38 = 2,859.38 : x
2. Step 2: Convert to fraction form
   1,846.31/2,859.38 = 2,859.38/x
3. Step 3: Cross multiply
   1,846.31x = 2,859.38 × 2,859.38
4. Step 4: Simplify right side
   1,846.31x = 8,176,025.39
5. Step 5: Solve for x
   x = 8,176,025.39/1,846.31
6. Step 6: Final answer
   x = 4,428.30