Finding the Third Proportional to 13,936 and 32,824

Step by Step Solution

1. Step 1: Write the proportion equation
   13,936 : 32,824 = 32,824 : x
2. Step 2: Convert to fraction form
   13,936/32,824 = 32,824/x
3. Step 3: Cross multiply
   13,936x = 32,824 × 32,824
4. Step 4: Simplify right side
   13,936x = 1,077,414,976
5. Step 5: Solve for x
   x = 1,077,414,976/13,936
6. Step 6: Final answer
   x = 77,311.64