Finding the Third Proportional to 41,906 and 56,946

Step by Step Solution

1. Step 1: Write the proportion equation
   41,906 : 56,946 = 56,946 : x
2. Step 2: Convert to fraction form
   41,906/56,946 = 56,946/x
3. Step 3: Cross multiply
   41,906x = 56,946 × 56,946
4. Step 4: Simplify right side
   41,906x = 3,242,846,916
5. Step 5: Solve for x
   x = 3,242,846,916/41,906
6. Step 6: Final answer
   x = 77,383.83