Finding the Third Proportional to 10,774.50 and 23,189.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774.50 : 23,189.25 = 23,189.25 : x
2. Step 2: Convert to fraction form
   10,774.50/23,189.25 = 23,189.25/x
3. Step 3: Cross multiply
   10,774.50x = 23,189.25 × 23,189.25
4. Step 4: Simplify right side
   10,774.50x = 537,741,315.56
5. Step 5: Solve for x
   x = 537,741,315.56/10,774.50
6. Step 6: Final answer
   x = 49,908.70