Finding the Third Proportional to 5,538 and 10,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 10,522.50 = 10,522.50 : x
2. Step 2: Convert to fraction form
   5,538/10,522.50 = 10,522.50/x
3. Step 3: Cross multiply
   5,538x = 10,522.50 × 10,522.50
4. Step 4: Simplify right side
   5,538x = 110,723,006.25
5. Step 5: Solve for x
   x = 110,723,006.25/5,538
6. Step 6: Final answer
   x = 19,993.32