Finding the Third Proportional to 33,884 and 72,664

Step by Step Solution

1. Step 1: Write the proportion equation
   33,884 : 72,664 = 72,664 : x
2. Step 2: Convert to fraction form
   33,884/72,664 = 72,664/x
3. Step 3: Cross multiply
   33,884x = 72,664 × 72,664
4. Step 4: Simplify right side
   33,884x = 5,280,056,896
5. Step 5: Solve for x
   x = 5,280,056,896/33,884
6. Step 6: Final answer
   x = 155,827.44