Finding the Third Proportional to 33,664 and 52,480

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 52,480 = 52,480 : x
2. Step 2: Convert to fraction form
   33,664/52,480 = 52,480/x
3. Step 3: Cross multiply
   33,664x = 52,480 × 52,480
4. Step 4: Simplify right side
   33,664x = 2,754,150,400
5. Step 5: Solve for x
   x = 2,754,150,400/33,664
6. Step 6: Final answer
   x = 81,812.93