Finding the Third Proportional to 2,476.25 and 3,846.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,476.25 : 3,846.63 = 3,846.63 : x
2. Step 2: Convert to fraction form
   2,476.25/3,846.63 = 3,846.63/x
3. Step 3: Cross multiply
   2,476.25x = 3,846.63 × 3,846.63
4. Step 4: Simplify right side
   2,476.25x = 14,796,523.89
5. Step 5: Solve for x
   x = 14,796,523.89/2,476.25
6. Step 6: Final answer
   x = 5,975.38