Finding the Third Proportional to 34,112 and 52,896

Step by Step Solution

1. Step 1: Write the proportion equation
   34,112 : 52,896 = 52,896 : x
2. Step 2: Convert to fraction form
   34,112/52,896 = 52,896/x
3. Step 3: Cross multiply
   34,112x = 52,896 × 52,896
4. Step 4: Simplify right side
   34,112x = 2,797,986,816
5. Step 5: Solve for x
   x = 2,797,986,816/34,112
6. Step 6: Final answer
   x = 82,023.53