Finding the Third Proportional to 35,172 and 77,256

Step by Step Solution

1. Step 1: Write the proportion equation
   35,172 : 77,256 = 77,256 : x
2. Step 2: Convert to fraction form
   35,172/77,256 = 77,256/x
3. Step 3: Cross multiply
   35,172x = 77,256 × 77,256
4. Step 4: Simplify right side
   35,172x = 5,968,489,536
5. Step 5: Solve for x
   x = 5,968,489,536/35,172
6. Step 6: Final answer
   x = 169,694.35