Finding the Third Proportional to 13,191.19 and 18,577.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,191.19 : 18,577.69 = 18,577.69 : x
2. Step 2: Convert to fraction form
   13,191.19/18,577.69 = 18,577.69/x
3. Step 3: Cross multiply
   13,191.19x = 18,577.69 × 18,577.69
4. Step 4: Simplify right side
   13,191.19x = 345,130,472.85
5. Step 5: Solve for x
   x = 345,130,472.85/13,191.19
6. Step 6: Final answer
   x = 26,163.72