Finding the Third Proportional to 10,825.50 and 23,216.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,825.50 : 23,216.25 = 23,216.25 : x
2. Step 2: Convert to fraction form
   10,825.50/23,216.25 = 23,216.25/x
3. Step 3: Cross multiply
   10,825.50x = 23,216.25 × 23,216.25
4. Step 4: Simplify right side
   10,825.50x = 538,994,264.06
5. Step 5: Solve for x
   x = 538,994,264.06/10,825.50
6. Step 6: Final answer
   x = 49,789.32