Finding the Third Proportional to 52,546 and 72,256

Step by Step Solution

1. Step 1: Write the proportion equation
   52,546 : 72,256 = 72,256 : x
2. Step 2: Convert to fraction form
   52,546/72,256 = 72,256/x
3. Step 3: Cross multiply
   52,546x = 72,256 × 72,256
4. Step 4: Simplify right side
   52,546x = 5,220,929,536
5. Step 5: Solve for x
   x = 5,220,929,536/52,546
6. Step 6: Final answer
   x = 99,359.22