Finding the Third Proportional to 8,006.34 and 12,577.78

Step by Step Solution

1. Step 1: Write the proportion equation
   8,006.34 : 12,577.78 = 12,577.78 : x
2. Step 2: Convert to fraction form
   8,006.34/12,577.78 = 12,577.78/x
3. Step 3: Cross multiply
   8,006.34x = 12,577.78 × 12,577.78
4. Step 4: Simplify right side
   8,006.34x = 158,200,581.17
5. Step 5: Solve for x
   x = 158,200,581.17/8,006.34
6. Step 6: Final answer
   x = 19,759.40