Finding the Third Proportional to 34,596 and 75,960

Step by Step Solution

1. Step 1: Write the proportion equation
   34,596 : 75,960 = 75,960 : x
2. Step 2: Convert to fraction form
   34,596/75,960 = 75,960/x
3. Step 3: Cross multiply
   34,596x = 75,960 × 75,960
4. Step 4: Simplify right side
   34,596x = 5,769,921,600
5. Step 5: Solve for x
   x = 5,769,921,600/34,596
6. Step 6: Final answer
   x = 166,780.02