Finding the Third Proportional to 34,433.50 and 75,419

Step by Step Solution

1. Step 1: Write the proportion equation
   34,433.50 : 75,419 = 75,419 : x
2. Step 2: Convert to fraction form
   34,433.50/75,419 = 75,419/x
3. Step 3: Cross multiply
   34,433.50x = 75,419 × 75,419
4. Step 4: Simplify right side
   34,433.50x = 5,688,025,561
5. Step 5: Solve for x
   x = 5,688,025,561/34,433.50
6. Step 6: Final answer
   x = 165,188.71