Finding the Third Proportional to 2,458.50 and 4,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.50 : 4,912.50 = 4,912.50 : x
2. Step 2: Convert to fraction form
   2,458.50/4,912.50 = 4,912.50/x
3. Step 3: Cross multiply
   2,458.50x = 4,912.50 × 4,912.50
4. Step 4: Simplify right side
   2,458.50x = 24,132,656.25
5. Step 5: Solve for x
   x = 24,132,656.25/2,458.50
6. Step 6: Final answer
   x = 9,816.01