Finding the Third Proportional to 36,864 and 55,392

Step by Step Solution

1. Step 1: Write the proportion equation
   36,864 : 55,392 = 55,392 : x
2. Step 2: Convert to fraction form
   36,864/55,392 = 55,392/x
3. Step 3: Cross multiply
   36,864x = 55,392 × 55,392
4. Step 4: Simplify right side
   36,864x = 3,068,273,664
5. Step 5: Solve for x
   x = 3,068,273,664/36,864
6. Step 6: Final answer
   x = 83,232.25