Finding the Third Proportional to 10,262.25 and 14,532.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.25 : 14,532.75 = 14,532.75 : x
2. Step 2: Convert to fraction form
   10,262.25/14,532.75 = 14,532.75/x
3. Step 3: Cross multiply
   10,262.25x = 14,532.75 × 14,532.75
4. Step 4: Simplify right side
   10,262.25x = 211,200,822.56
5. Step 5: Solve for x
   x = 211,200,822.56/10,262.25
6. Step 6: Final answer
   x = 20,580.36