Finding the Third Proportional to 35,644 and 76,994

Step by Step Solution

1. Step 1: Write the proportion equation
   35,644 : 76,994 = 76,994 : x
2. Step 2: Convert to fraction form
   35,644/76,994 = 76,994/x
3. Step 3: Cross multiply
   35,644x = 76,994 × 76,994
4. Step 4: Simplify right side
   35,644x = 5,928,076,036
5. Step 5: Solve for x
   x = 5,928,076,036/35,644
6. Step 6: Final answer
   x = 166,313.43