Finding the Third Proportional to 32,200 and 50,264

Step by Step Solution

1. Step 1: Write the proportion equation
   32,200 : 50,264 = 50,264 : x
2. Step 2: Convert to fraction form
   32,200/50,264 = 50,264/x
3. Step 3: Cross multiply
   32,200x = 50,264 × 50,264
4. Step 4: Simplify right side
   32,200x = 2,526,469,696
5. Step 5: Solve for x
   x = 2,526,469,696/32,200
6. Step 6: Final answer
   x = 78,461.79