Finding the Third Proportional to 19,768 and 41,168

Step by Step Solution

1. Step 1: Write the proportion equation
   19,768 : 41,168 = 41,168 : x
2. Step 2: Convert to fraction form
   19,768/41,168 = 41,168/x
3. Step 3: Cross multiply
   19,768x = 41,168 × 41,168
4. Step 4: Simplify right side
   19,768x = 1,694,804,224
5. Step 5: Solve for x
   x = 1,694,804,224/19,768
6. Step 6: Final answer
   x = 85,734.73