Finding the Third Proportional to 38,256 and 56,736

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256 : 56,736 = 56,736 : x
2. Step 2: Convert to fraction form
   38,256/56,736 = 56,736/x
3. Step 3: Cross multiply
   38,256x = 56,736 × 56,736
4. Step 4: Simplify right side
   38,256x = 3,218,973,696
5. Step 5: Solve for x
   x = 3,218,973,696/38,256
6. Step 6: Final answer
   x = 84,142.98