Finding the Third Proportional to 35,216 and 76,406

Step by Step Solution

1. Step 1: Write the proportion equation
   35,216 : 76,406 = 76,406 : x
2. Step 2: Convert to fraction form
   35,216/76,406 = 76,406/x
3. Step 3: Cross multiply
   35,216x = 76,406 × 76,406
4. Step 4: Simplify right side
   35,216x = 5,837,876,836
5. Step 5: Solve for x
   x = 5,837,876,836/35,216
6. Step 6: Final answer
   x = 165,773.42