Finding the Third Proportional to 35,760 and 77,142

Step by Step Solution

1. Step 1: Write the proportion equation
   35,760 : 77,142 = 77,142 : x
2. Step 2: Convert to fraction form
   35,760/77,142 = 77,142/x
3. Step 3: Cross multiply
   35,760x = 77,142 × 77,142
4. Step 4: Simplify right side
   35,760x = 5,950,888,164
5. Step 5: Solve for x
   x = 5,950,888,164/35,760
6. Step 6: Final answer
   x = 166,411.86