Finding the Third Proportional to 34,290 and 51,434

Step by Step Solution

1. Step 1: Write the proportion equation
   34,290 : 51,434 = 51,434 : x
2. Step 2: Convert to fraction form
   34,290/51,434 = 51,434/x
3. Step 3: Cross multiply
   34,290x = 51,434 × 51,434
4. Step 4: Simplify right side
   34,290x = 2,645,456,356
5. Step 5: Solve for x
   x = 2,645,456,356/34,290
6. Step 6: Final answer
   x = 77,149.50