Finding the Third Proportional to 1,731.94 and 3,820.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,731.94 : 3,820.78 = 3,820.78 : x
2. Step 2: Convert to fraction form
   1,731.94/3,820.78 = 3,820.78/x
3. Step 3: Cross multiply
   1,731.94x = 3,820.78 × 3,820.78
4. Step 4: Simplify right side
   1,731.94x = 14,598,369.36
5. Step 5: Solve for x
   x = 14,598,369.36/1,731.94
6. Step 6: Final answer
   x = 8,428.92