Finding the Third Proportional to 32,702 and 50,627

Step by Step Solution

1. Step 1: Write the proportion equation
   32,702 : 50,627 = 50,627 : x
2. Step 2: Convert to fraction form
   32,702/50,627 = 50,627/x
3. Step 3: Cross multiply
   32,702x = 50,627 × 50,627
4. Step 4: Simplify right side
   32,702x = 2,563,093,129
5. Step 5: Solve for x
   x = 2,563,093,129/32,702
6. Step 6: Final answer
   x = 78,377.26