Finding the Third Proportional to 50,320 and 64,536

Step by Step Solution

1. Step 1: Write the proportion equation
   50,320 : 64,536 = 64,536 : x
2. Step 2: Convert to fraction form
   50,320/64,536 = 64,536/x
3. Step 3: Cross multiply
   50,320x = 64,536 × 64,536
4. Step 4: Simplify right side
   50,320x = 4,164,895,296
5. Step 5: Solve for x
   x = 4,164,895,296/50,320
6. Step 6: Final answer
   x = 82,768.19