Finding the Third Proportional to 35,776 and 40,960

Step by Step Solution

1. Step 1: Write the proportion equation
   35,776 : 40,960 = 40,960 : x
2. Step 2: Convert to fraction form
   35,776/40,960 = 40,960/x
3. Step 3: Cross multiply
   35,776x = 40,960 × 40,960
4. Step 4: Simplify right side
   35,776x = 1,677,721,600
5. Step 5: Solve for x
   x = 1,677,721,600/35,776
6. Step 6: Final answer
   x = 46,895.17