Finding the Third Proportional to 32,004 and 50,272

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 50,272 = 50,272 : x
2. Step 2: Convert to fraction form
   32,004/50,272 = 50,272/x
3. Step 3: Cross multiply
   32,004x = 50,272 × 50,272
4. Step 4: Simplify right side
   32,004x = 2,527,273,984
5. Step 5: Solve for x
   x = 2,527,273,984/32,004
6. Step 6: Final answer
   x = 78,967.44