Finding the Third Proportional to 35,784 and 40,968

Step by Step Solution

1. Step 1: Write the proportion equation
   35,784 : 40,968 = 40,968 : x
2. Step 2: Convert to fraction form
   35,784/40,968 = 40,968/x
3. Step 3: Cross multiply
   35,784x = 40,968 × 40,968
4. Step 4: Simplify right side
   35,784x = 1,678,377,024
5. Step 5: Solve for x
   x = 1,678,377,024/35,784
6. Step 6: Final answer
   x = 46,903.00