Finding the Third Proportional to 33,664 and 54,168

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 54,168 = 54,168 : x
2. Step 2: Convert to fraction form
   33,664/54,168 = 54,168/x
3. Step 3: Cross multiply
   33,664x = 54,168 × 54,168
4. Step 4: Simplify right side
   33,664x = 2,934,172,224
5. Step 5: Solve for x
   x = 2,934,172,224/33,664
6. Step 6: Final answer
   x = 87,160.53