Finding the Third Proportional to 10,538 and 24,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538 : 24,396.50 = 24,396.50 : x
2. Step 2: Convert to fraction form
   10,538/24,396.50 = 24,396.50/x
3. Step 3: Cross multiply
   10,538x = 24,396.50 × 24,396.50
4. Step 4: Simplify right side
   10,538x = 595,189,212.25
5. Step 5: Solve for x
   x = 595,189,212.25/10,538
6. Step 6: Final answer
   x = 56,480.28