Finding the Third Proportional to 10,564.88 and 16,453.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.88 : 16,453.69 = 16,453.69 : x
2. Step 2: Convert to fraction form
   10,564.88/16,453.69 = 16,453.69/x
3. Step 3: Cross multiply
   10,564.88x = 16,453.69 × 16,453.69
4. Step 4: Simplify right side
   10,564.88x = 270,723,832.35
5. Step 5: Solve for x
   x = 270,723,832.35/10,564.88
6. Step 6: Final answer
   x = 25,624.90