Finding the Third Proportional to 9,419 and 13,840

Step by Step Solution

1. Step 1: Write the proportion equation
   9,419 : 13,840 = 13,840 : x
2. Step 2: Convert to fraction form
   9,419/13,840 = 13,840/x
3. Step 3: Cross multiply
   9,419x = 13,840 × 13,840
4. Step 4: Simplify right side
   9,419x = 191,545,600
5. Step 5: Solve for x
   x = 191,545,600/9,419
6. Step 6: Final answer
   x = 20,336.09