Finding the Third Proportional to 34,952 and 76,768

Step by Step Solution

1. Step 1: Write the proportion equation
   34,952 : 76,768 = 76,768 : x
2. Step 2: Convert to fraction form
   34,952/76,768 = 76,768/x
3. Step 3: Cross multiply
   34,952x = 76,768 × 76,768
4. Step 4: Simplify right side
   34,952x = 5,893,325,824
5. Step 5: Solve for x
   x = 5,893,325,824/34,952
6. Step 6: Final answer
   x = 168,611.98