Finding the Third Proportional to 34,320 and 51,842

Step by Step Solution

1. Step 1: Write the proportion equation
   34,320 : 51,842 = 51,842 : x
2. Step 2: Convert to fraction form
   34,320/51,842 = 51,842/x
3. Step 3: Cross multiply
   34,320x = 51,842 × 51,842
4. Step 4: Simplify right side
   34,320x = 2,687,592,964
5. Step 5: Solve for x
   x = 2,687,592,964/34,320
6. Step 6: Final answer
   x = 78,309.82