Finding the Third Proportional to 34,792 and 76,148

Step by Step Solution

1. Step 1: Write the proportion equation
   34,792 : 76,148 = 76,148 : x
2. Step 2: Convert to fraction form
   34,792/76,148 = 76,148/x
3. Step 3: Cross multiply
   34,792x = 76,148 × 76,148
4. Step 4: Simplify right side
   34,792x = 5,798,517,904
5. Step 5: Solve for x
   x = 5,798,517,904/34,792
6. Step 6: Final answer
   x = 166,662.39