Finding the Third Proportional to 23,456 and 35,840

Step by Step Solution

1. Step 1: Write the proportion equation
   23,456 : 35,840 = 35,840 : x
2. Step 2: Convert to fraction form
   23,456/35,840 = 35,840/x
3. Step 3: Cross multiply
   23,456x = 35,840 × 35,840
4. Step 4: Simplify right side
   23,456x = 1,284,505,600
5. Step 5: Solve for x
   x = 1,284,505,600/23,456
6. Step 6: Final answer
   x = 54,762.35