Finding the Third Proportional to 34,798 and 76,116

Step by Step Solution

1. Step 1: Write the proportion equation
   34,798 : 76,116 = 76,116 : x
2. Step 2: Convert to fraction form
   34,798/76,116 = 76,116/x
3. Step 3: Cross multiply
   34,798x = 76,116 × 76,116
4. Step 4: Simplify right side
   34,798x = 5,793,645,456
5. Step 5: Solve for x
   x = 5,793,645,456/34,798
6. Step 6: Final answer
   x = 166,493.63