Finding the Third Proportional to 41,664 and 55,656

Step by Step Solution

1. Step 1: Write the proportion equation
   41,664 : 55,656 = 55,656 : x
2. Step 2: Convert to fraction form
   41,664/55,656 = 55,656/x
3. Step 3: Cross multiply
   41,664x = 55,656 × 55,656
4. Step 4: Simplify right side
   41,664x = 3,097,590,336
5. Step 5: Solve for x
   x = 3,097,590,336/41,664
6. Step 6: Final answer
   x = 74,346.93