Finding the Third Proportional to 34,564 and 76,040

Step by Step Solution

1. Step 1: Write the proportion equation
   34,564 : 76,040 = 76,040 : x
2. Step 2: Convert to fraction form
   34,564/76,040 = 76,040/x
3. Step 3: Cross multiply
   34,564x = 76,040 × 76,040
4. Step 4: Simplify right side
   34,564x = 5,782,081,600
5. Step 5: Solve for x
   x = 5,782,081,600/34,564
6. Step 6: Final answer
   x = 167,286.24