Finding the Third Proportional to 35,382 and 76,902

Step by Step Solution

1. Step 1: Write the proportion equation
   35,382 : 76,902 = 76,902 : x
2. Step 2: Convert to fraction form
   35,382/76,902 = 76,902/x
3. Step 3: Cross multiply
   35,382x = 76,902 × 76,902
4. Step 4: Simplify right side
   35,382x = 5,913,917,604
5. Step 5: Solve for x
   x = 5,913,917,604/35,382
6. Step 6: Final answer
   x = 167,144.81