Finding the Third Proportional to 35,706 and 72,384

Step by Step Solution

1. Step 1: Write the proportion equation
   35,706 : 72,384 = 72,384 : x
2. Step 2: Convert to fraction form
   35,706/72,384 = 72,384/x
3. Step 3: Cross multiply
   35,706x = 72,384 × 72,384
4. Step 4: Simplify right side
   35,706x = 5,239,443,456
5. Step 5: Solve for x
   x = 5,239,443,456/35,706
6. Step 6: Final answer
   x = 146,738.46