Finding the Third Proportional to 34,781 and 75,770

Step by Step Solution

1. Step 1: Write the proportion equation
   34,781 : 75,770 = 75,770 : x
2. Step 2: Convert to fraction form
   34,781/75,770 = 75,770/x
3. Step 3: Cross multiply
   34,781x = 75,770 × 75,770
4. Step 4: Simplify right side
   34,781x = 5,741,092,900
5. Step 5: Solve for x
   x = 5,741,092,900/34,781
6. Step 6: Final answer
   x = 165,064.06