Finding the Third Proportional to 2,326.50 and 4,974.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,326.50 : 4,974.75 = 4,974.75 : x
2. Step 2: Convert to fraction form
   2,326.50/4,974.75 = 4,974.75/x
3. Step 3: Cross multiply
   2,326.50x = 4,974.75 × 4,974.75
4. Step 4: Simplify right side
   2,326.50x = 24,748,137.56
5. Step 5: Solve for x
   x = 24,748,137.56/2,326.50
6. Step 6: Final answer
   x = 10,637.50