Finding the Third Proportional to 10,821 and 23,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,821 : 23,533.50 = 23,533.50 : x
2. Step 2: Convert to fraction form
   10,821/23,533.50 = 23,533.50/x
3. Step 3: Cross multiply
   10,821x = 23,533.50 × 23,533.50
4. Step 4: Simplify right side
   10,821x = 553,825,622.25
5. Step 5: Solve for x
   x = 553,825,622.25/10,821
6. Step 6: Final answer
   x = 51,180.63