Finding the Third Proportional to 40,768 and 84,144

Step by Step Solution

1. Step 1: Write the proportion equation
   40,768 : 84,144 = 84,144 : x
2. Step 2: Convert to fraction form
   40,768/84,144 = 84,144/x
3. Step 3: Cross multiply
   40,768x = 84,144 × 84,144
4. Step 4: Simplify right side
   40,768x = 7,080,212,736
5. Step 5: Solve for x
   x = 7,080,212,736/40,768
6. Step 6: Final answer
   x = 173,670.84