Finding the Third Proportional to 4,796.50 and 10,259.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,796.50 : 10,259.25 = 10,259.25 : x
2. Step 2: Convert to fraction form
   4,796.50/10,259.25 = 10,259.25/x
3. Step 3: Cross multiply
   4,796.50x = 10,259.25 × 10,259.25
4. Step 4: Simplify right side
   4,796.50x = 105,252,210.56
5. Step 5: Solve for x
   x = 105,252,210.56/4,796.50
6. Step 6: Final answer
   x = 21,943.54