Finding the Third Proportional to 32,352 and 50,256

Step by Step Solution

1. Step 1: Write the proportion equation
   32,352 : 50,256 = 50,256 : x
2. Step 2: Convert to fraction form
   32,352/50,256 = 50,256/x
3. Step 3: Cross multiply
   32,352x = 50,256 × 50,256
4. Step 4: Simplify right side
   32,352x = 2,525,665,536
5. Step 5: Solve for x
   x = 2,525,665,536/32,352
6. Step 6: Final answer
   x = 78,068.30