Finding the Third Proportional to 10,756.55 and 16,438.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,756.55 : 16,438.57 = 16,438.57 : x
2. Step 2: Convert to fraction form
   10,756.55/16,438.57 = 16,438.57/x
3. Step 3: Cross multiply
   10,756.55x = 16,438.57 × 16,438.57
4. Step 4: Simplify right side
   10,756.55x = 270,226,593.92
5. Step 5: Solve for x
   x = 270,226,593.92/10,756.55
6. Step 6: Final answer
   x = 25,122.06