Finding the Third Proportional to 11,876 and 19,434

Step by Step Solution

1. Step 1: Write the proportion equation
   11,876 : 19,434 = 19,434 : x
2. Step 2: Convert to fraction form
   11,876/19,434 = 19,434/x
3. Step 3: Cross multiply
   11,876x = 19,434 × 19,434
4. Step 4: Simplify right side
   11,876x = 377,680,356
5. Step 5: Solve for x
   x = 377,680,356/11,876
6. Step 6: Final answer
   x = 31,801.98