Finding the Third Proportional to 35,749 and 76,979

Step by Step Solution

1. Step 1: Write the proportion equation
   35,749 : 76,979 = 76,979 : x
2. Step 2: Convert to fraction form
   35,749/76,979 = 76,979/x
3. Step 3: Cross multiply
   35,749x = 76,979 × 76,979
4. Step 4: Simplify right side
   35,749x = 5,925,766,441
5. Step 5: Solve for x
   x = 5,925,766,441/35,749
6. Step 6: Final answer
   x = 165,760.34