Finding the Third Proportional to 4,648.50 and 10,023.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,648.50 : 10,023.75 = 10,023.75 : x
2. Step 2: Convert to fraction form
   4,648.50/10,023.75 = 10,023.75/x
3. Step 3: Cross multiply
   4,648.50x = 10,023.75 × 10,023.75
4. Step 4: Simplify right side
   4,648.50x = 100,475,564.06
5. Step 5: Solve for x
   x = 100,475,564.06/4,648.50
6. Step 6: Final answer
   x = 21,614.62