Finding the Third Proportional to 13,840 and 30,368

Step by Step Solution

1. Step 1: Write the proportion equation
   13,840 : 30,368 = 30,368 : x
2. Step 2: Convert to fraction form
   13,840/30,368 = 30,368/x
3. Step 3: Cross multiply
   13,840x = 30,368 × 30,368
4. Step 4: Simplify right side
   13,840x = 922,215,424
5. Step 5: Solve for x
   x = 922,215,424/13,840
6. Step 6: Final answer
   x = 66,634.06