Finding the Third Proportional to 11,913.75 and 18,577.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,913.75 : 18,577.69 = 18,577.69 : x
2. Step 2: Convert to fraction form
   11,913.75/18,577.69 = 18,577.69/x
3. Step 3: Cross multiply
   11,913.75x = 18,577.69 × 18,577.69
4. Step 4: Simplify right side
   11,913.75x = 345,130,472.85
5. Step 5: Solve for x
   x = 345,130,472.85/11,913.75
6. Step 6: Final answer
   x = 28,969.09