Finding the Third Proportional to 35,686 and 76,988

Step by Step Solution

1. Step 1: Write the proportion equation
   35,686 : 76,988 = 76,988 : x
2. Step 2: Convert to fraction form
   35,686/76,988 = 76,988/x
3. Step 3: Cross multiply
   35,686x = 76,988 × 76,988
4. Step 4: Simplify right side
   35,686x = 5,927,152,144
5. Step 5: Solve for x
   x = 5,927,152,144/35,686
6. Step 6: Final answer
   x = 166,091.80