Finding the Third Proportional to 34,288 and 51,862

Step by Step Solution

1. Step 1: Write the proportion equation
   34,288 : 51,862 = 51,862 : x
2. Step 2: Convert to fraction form
   34,288/51,862 = 51,862/x
3. Step 3: Cross multiply
   34,288x = 51,862 × 51,862
4. Step 4: Simplify right side
   34,288x = 2,689,667,044
5. Step 5: Solve for x
   x = 2,689,667,044/34,288
6. Step 6: Final answer
   x = 78,443.39