Finding the Third Proportional to 34,770 and 76,450

Step by Step Solution

1. Step 1: Write the proportion equation
   34,770 : 76,450 = 76,450 : x
2. Step 2: Convert to fraction form
   34,770/76,450 = 76,450/x
3. Step 3: Cross multiply
   34,770x = 76,450 × 76,450
4. Step 4: Simplify right side
   34,770x = 5,844,602,500
5. Step 5: Solve for x
   x = 5,844,602,500/34,770
6. Step 6: Final answer
   x = 168,093.26