Finding the Third Proportional to 35,667 and 76,854

Step by Step Solution

1. Step 1: Write the proportion equation
   35,667 : 76,854 = 76,854 : x
2. Step 2: Convert to fraction form
   35,667/76,854 = 76,854/x
3. Step 3: Cross multiply
   35,667x = 76,854 × 76,854
4. Step 4: Simplify right side
   35,667x = 5,906,537,316
5. Step 5: Solve for x
   x = 5,906,537,316/35,667
6. Step 6: Final answer
   x = 165,602.30