Finding the Third Proportional to 67,368 and 105,684

Step by Step Solution

1. Step 1: Write the proportion equation
   67,368 : 105,684 = 105,684 : x
2. Step 2: Convert to fraction form
   67,368/105,684 = 105,684/x
3. Step 3: Cross multiply
   67,368x = 105,684 × 105,684
4. Step 4: Simplify right side
   67,368x = 11,169,107,856
5. Step 5: Solve for x
   x = 11,169,107,856/67,368
6. Step 6: Final answer
   x = 165,792.48