Finding the Third Proportional to 35,966 and 77,384

Step by Step Solution

1. Step 1: Write the proportion equation
   35,966 : 77,384 = 77,384 : x
2. Step 2: Convert to fraction form
   35,966/77,384 = 77,384/x
3. Step 3: Cross multiply
   35,966x = 77,384 × 77,384
4. Step 4: Simplify right side
   35,966x = 5,988,283,456
5. Step 5: Solve for x
   x = 5,988,283,456/35,966
6. Step 6: Final answer
   x = 166,498.46