Finding the Third Proportional to 35,141 and 76,519

Step by Step Solution

1. Step 1: Write the proportion equation
   35,141 : 76,519 = 76,519 : x
2. Step 2: Convert to fraction form
   35,141/76,519 = 76,519/x
3. Step 3: Cross multiply
   35,141x = 76,519 × 76,519
4. Step 4: Simplify right side
   35,141x = 5,855,157,361
5. Step 5: Solve for x
   x = 5,855,157,361/35,141
6. Step 6: Final answer
   x = 166,618.97