Finding the Third Proportional to 48,384 and 65,664

Step by Step Solution

1. Step 1: Write the proportion equation
   48,384 : 65,664 = 65,664 : x
2. Step 2: Convert to fraction form
   48,384/65,664 = 65,664/x
3. Step 3: Cross multiply
   48,384x = 65,664 × 65,664
4. Step 4: Simplify right side
   48,384x = 4,311,760,896
5. Step 5: Solve for x
   x = 4,311,760,896/48,384
6. Step 6: Final answer
   x = 89,115.43