Finding the Third Proportional to 34,764 and 75,900

Step by Step Solution

1. Step 1: Write the proportion equation
   34,764 : 75,900 = 75,900 : x
2. Step 2: Convert to fraction form
   34,764/75,900 = 75,900/x
3. Step 3: Cross multiply
   34,764x = 75,900 × 75,900
4. Step 4: Simplify right side
   34,764x = 5,760,810,000
5. Step 5: Solve for x
   x = 5,760,810,000/34,764
6. Step 6: Final answer
   x = 165,711.94