Finding the Third Proportional to 11,780 and 19,254

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 19,254 = 19,254 : x
2. Step 2: Convert to fraction form
   11,780/19,254 = 19,254/x
3. Step 3: Cross multiply
   11,780x = 19,254 × 19,254
4. Step 4: Simplify right side
   11,780x = 370,716,516
5. Step 5: Solve for x
   x = 370,716,516/11,780
6. Step 6: Final answer
   x = 31,469.99