Finding the Third Proportional to 23,184 and 35,976

Step by Step Solution

1. Step 1: Write the proportion equation
   23,184 : 35,976 = 35,976 : x
2. Step 2: Convert to fraction form
   23,184/35,976 = 35,976/x
3. Step 3: Cross multiply
   23,184x = 35,976 × 35,976
4. Step 4: Simplify right side
   23,184x = 1,294,272,576
5. Step 5: Solve for x
   x = 1,294,272,576/23,184
6. Step 6: Final answer
   x = 55,826.11