Finding the Third Proportional to 34,646 and 76,111

Step by Step Solution

1. Step 1: Write the proportion equation
   34,646 : 76,111 = 76,111 : x
2. Step 2: Convert to fraction form
   34,646/76,111 = 76,111/x
3. Step 3: Cross multiply
   34,646x = 76,111 × 76,111
4. Step 4: Simplify right side
   34,646x = 5,792,884,321
5. Step 5: Solve for x
   x = 5,792,884,321/34,646
6. Step 6: Final answer
   x = 167,202.11