Finding the Third Proportional to 12,577.78 and 19,553.91

Step by Step Solution

1. Step 1: Write the proportion equation
   12,577.78 : 19,553.91 = 19,553.91 : x
2. Step 2: Convert to fraction form
   12,577.78/19,553.91 = 19,553.91/x
3. Step 3: Cross multiply
   12,577.78x = 19,553.91 × 19,553.91
4. Step 4: Simplify right side
   12,577.78x = 382,355,249.63
5. Step 5: Solve for x
   x = 382,355,249.63/12,577.78
6. Step 6: Final answer
   x = 30,399.26