Finding the Third Proportional to 35,516 and 72,256

Step by Step Solution

1. Step 1: Write the proportion equation
   35,516 : 72,256 = 72,256 : x
2. Step 2: Convert to fraction form
   35,516/72,256 = 72,256/x
3. Step 3: Cross multiply
   35,516x = 72,256 × 72,256
4. Step 4: Simplify right side
   35,516x = 5,220,929,536
5. Step 5: Solve for x
   x = 5,220,929,536/35,516
6. Step 6: Final answer
   x = 147,002.18