Finding the Third Proportional to 12,960 and 19,166.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,960 : 19,166.63 = 19,166.63 : x
2. Step 2: Convert to fraction form
   12,960/19,166.63 = 19,166.63/x
3. Step 3: Cross multiply
   12,960x = 19,166.63 × 19,166.63
4. Step 4: Simplify right side
   12,960x = 367,359,513.89
5. Step 5: Solve for x
   x = 367,359,513.89/12,960
6. Step 6: Final answer
   x = 28,345.64