Finding the Third Proportional to 35,359 and 76,253

Step by Step Solution

1. Step 1: Write the proportion equation
   35,359 : 76,253 = 76,253 : x
2. Step 2: Convert to fraction form
   35,359/76,253 = 76,253/x
3. Step 3: Cross multiply
   35,359x = 76,253 × 76,253
4. Step 4: Simplify right side
   35,359x = 5,814,520,009
5. Step 5: Solve for x
   x = 5,814,520,009/35,359
6. Step 6: Final answer
   x = 164,442.43