Finding the Third Proportional to 12,642 and 18,962.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,642 : 18,962.63 = 18,962.63 : x
2. Step 2: Convert to fraction form
   12,642/18,962.63 = 18,962.63/x
3. Step 3: Cross multiply
   12,642x = 18,962.63 × 18,962.63
4. Step 4: Simplify right side
   12,642x = 359,581,146.89
5. Step 5: Solve for x
   x = 359,581,146.89/12,642
6. Step 6: Final answer
   x = 28,443.38