Finding the Third Proportional to 34,320 and 51,844

Step by Step Solution

1. Step 1: Write the proportion equation
   34,320 : 51,844 = 51,844 : x
2. Step 2: Convert to fraction form
   34,320/51,844 = 51,844/x
3. Step 3: Cross multiply
   34,320x = 51,844 × 51,844
4. Step 4: Simplify right side
   34,320x = 2,687,800,336
5. Step 5: Solve for x
   x = 2,687,800,336/34,320
6. Step 6: Final answer
   x = 78,315.86