Finding the Third Proportional to 30,425 and 65,377

Step by Step Solution

1. Step 1: Write the proportion equation
   30,425 : 65,377 = 65,377 : x
2. Step 2: Convert to fraction form
   30,425/65,377 = 65,377/x
3. Step 3: Cross multiply
   30,425x = 65,377 × 65,377
4. Step 4: Simplify right side
   30,425x = 4,274,152,129
5. Step 5: Solve for x
   x = 4,274,152,129/30,425
6. Step 6: Final answer
   x = 140,481.58