Finding the Third Proportional to 34,738 and 76,012

Step by Step Solution

1. Step 1: Write the proportion equation
   34,738 : 76,012 = 76,012 : x
2. Step 2: Convert to fraction form
   34,738/76,012 = 76,012/x
3. Step 3: Cross multiply
   34,738x = 76,012 × 76,012
4. Step 4: Simplify right side
   34,738x = 5,777,824,144
5. Step 5: Solve for x
   x = 5,777,824,144/34,738
6. Step 6: Final answer
   x = 166,325.76