Finding the Third Proportional to 8,824.78 and 12,758.77

Step by Step Solution

1. Step 1: Write the proportion equation
   8,824.78 : 12,758.77 = 12,758.77 : x
2. Step 2: Convert to fraction form
   8,824.78/12,758.77 = 12,758.77/x
3. Step 3: Cross multiply
   8,824.78x = 12,758.77 × 12,758.77
4. Step 4: Simplify right side
   8,824.78x = 162,786,100.27
5. Step 5: Solve for x
   x = 162,786,100.27/8,824.78
6. Step 6: Final answer
   x = 18,446.47