Finding the Third Proportional to 23,563 and 51,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,563 : 51,216.50 = 51,216.50 : x
2. Step 2: Convert to fraction form
   23,563/51,216.50 = 51,216.50/x
3. Step 3: Cross multiply
   23,563x = 51,216.50 × 51,216.50
4. Step 4: Simplify right side
   23,563x = 2,623,129,872.25
5. Step 5: Solve for x
   x = 2,623,129,872.25/23,563
6. Step 6: Final answer
   x = 111,324.10