Finding the Third Proportional to 13,384 and 20,434

Step by Step Solution

1. Step 1: Write the proportion equation
   13,384 : 20,434 = 20,434 : x
2. Step 2: Convert to fraction form
   13,384/20,434 = 20,434/x
3. Step 3: Cross multiply
   13,384x = 20,434 × 20,434
4. Step 4: Simplify right side
   13,384x = 417,548,356
5. Step 5: Solve for x
   x = 417,548,356/13,384
6. Step 6: Final answer
   x = 31,197.58