Finding the Third Proportional to 10,974.25 and 24,321.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.25 : 24,321.25 = 24,321.25 : x
2. Step 2: Convert to fraction form
   10,974.25/24,321.25 = 24,321.25/x
3. Step 3: Cross multiply
   10,974.25x = 24,321.25 × 24,321.25
4. Step 4: Simplify right side
   10,974.25x = 591,523,201.56
5. Step 5: Solve for x
   x = 591,523,201.56/10,974.25
6. Step 6: Final answer
   x = 53,901.01