Finding the Third Proportional to 32,172 and 50,536

Step by Step Solution

1. Step 1: Write the proportion equation
   32,172 : 50,536 = 50,536 : x
2. Step 2: Convert to fraction form
   32,172/50,536 = 50,536/x
3. Step 3: Cross multiply
   32,172x = 50,536 × 50,536
4. Step 4: Simplify right side
   32,172x = 2,553,887,296
5. Step 5: Solve for x
   x = 2,553,887,296/32,172
6. Step 6: Final answer
   x = 79,382.30