Finding the Third Proportional to 34,960 and 76,952

Step by Step Solution

1. Step 1: Write the proportion equation
   34,960 : 76,952 = 76,952 : x
2. Step 2: Convert to fraction form
   34,960/76,952 = 76,952/x
3. Step 3: Cross multiply
   34,960x = 76,952 × 76,952
4. Step 4: Simplify right side
   34,960x = 5,921,610,304
5. Step 5: Solve for x
   x = 5,921,610,304/34,960
6. Step 6: Final answer
   x = 169,382.45