Finding the Third Proportional to 2,048 and 4,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048 : 4,812.50 = 4,812.50 : x
2. Step 2: Convert to fraction form
   2,048/4,812.50 = 4,812.50/x
3. Step 3: Cross multiply
   2,048x = 4,812.50 × 4,812.50
4. Step 4: Simplify right side
   2,048x = 23,160,156.25
5. Step 5: Solve for x
   x = 23,160,156.25/2,048
6. Step 6: Final answer
   x = 11,308.67