Finding the Third Proportional to 34,412 and 50,978

Step by Step Solution

1. Step 1: Write the proportion equation
   34,412 : 50,978 = 50,978 : x
2. Step 2: Convert to fraction form
   34,412/50,978 = 50,978/x
3. Step 3: Cross multiply
   34,412x = 50,978 × 50,978
4. Step 4: Simplify right side
   34,412x = 2,598,756,484
5. Step 5: Solve for x
   x = 2,598,756,484/34,412
6. Step 6: Final answer
   x = 75,518.90