Finding the Third Proportional to 36,096 and 55,168

Step by Step Solution

1. Step 1: Write the proportion equation
   36,096 : 55,168 = 55,168 : x
2. Step 2: Convert to fraction form
   36,096/55,168 = 55,168/x
3. Step 3: Cross multiply
   36,096x = 55,168 × 55,168
4. Step 4: Simplify right side
   36,096x = 3,043,508,224
5. Step 5: Solve for x
   x = 3,043,508,224/36,096
6. Step 6: Final answer
   x = 84,317.05