Finding the Third Proportional to 35,784 and 76,770

Step by Step Solution

1. Step 1: Write the proportion equation
   35,784 : 76,770 = 76,770 : x
2. Step 2: Convert to fraction form
   35,784/76,770 = 76,770/x
3. Step 3: Cross multiply
   35,784x = 76,770 × 76,770
4. Step 4: Simplify right side
   35,784x = 5,893,632,900
5. Step 5: Solve for x
   x = 5,893,632,900/35,784
6. Step 6: Final answer
   x = 164,700.23