Finding the Third Proportional to 11,916 and 19,314

Step by Step Solution

1. Step 1: Write the proportion equation
   11,916 : 19,314 = 19,314 : x
2. Step 2: Convert to fraction form
   11,916/19,314 = 19,314/x
3. Step 3: Cross multiply
   11,916x = 19,314 × 19,314
4. Step 4: Simplify right side
   11,916x = 373,030,596
5. Step 5: Solve for x
   x = 373,030,596/11,916
6. Step 6: Final answer
   x = 31,305.02