Finding the Third Proportional to 12,754.13 and 19,537.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,754.13 : 19,537.88 = 19,537.88 : x
2. Step 2: Convert to fraction form
   12,754.13/19,537.88 = 19,537.88/x
3. Step 3: Cross multiply
   12,754.13x = 19,537.88 × 19,537.88
4. Step 4: Simplify right side
   12,754.13x = 381,728,559.52
5. Step 5: Solve for x
   x = 381,728,559.52/12,754.13
6. Step 6: Final answer
   x = 29,929.81