Finding the Third Proportional to 35,664 and 49,856

Step by Step Solution

1. Step 1: Write the proportion equation
   35,664 : 49,856 = 49,856 : x
2. Step 2: Convert to fraction form
   35,664/49,856 = 49,856/x
3. Step 3: Cross multiply
   35,664x = 49,856 × 49,856
4. Step 4: Simplify right side
   35,664x = 2,485,620,736
5. Step 5: Solve for x
   x = 2,485,620,736/35,664
6. Step 6: Final answer
   x = 69,695.51