Finding the Third Proportional to 10,823.75 and 16,267.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.75 : 16,267.25 = 16,267.25 : x
2. Step 2: Convert to fraction form
   10,823.75/16,267.25 = 16,267.25/x
3. Step 3: Cross multiply
   10,823.75x = 16,267.25 × 16,267.25
4. Step 4: Simplify right side
   10,823.75x = 264,623,422.56
5. Step 5: Solve for x
   x = 264,623,422.56/10,823.75
6. Step 6: Final answer
   x = 24,448.40