Finding the Third Proportional to 5,189 and 10,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,189 : 10,620.50 = 10,620.50 : x
2. Step 2: Convert to fraction form
   5,189/10,620.50 = 10,620.50/x
3. Step 3: Cross multiply
   5,189x = 10,620.50 × 10,620.50
4. Step 4: Simplify right side
   5,189x = 112,795,020.25
5. Step 5: Solve for x
   x = 112,795,020.25/5,189
6. Step 6: Final answer
   x = 21,737.33