Finding the Third Proportional to 34,625 and 51,978

Step by Step Solution

1. Step 1: Write the proportion equation
   34,625 : 51,978 = 51,978 : x
2. Step 2: Convert to fraction form
   34,625/51,978 = 51,978/x
3. Step 3: Cross multiply
   34,625x = 51,978 × 51,978
4. Step 4: Simplify right side
   34,625x = 2,701,712,484
5. Step 5: Solve for x
   x = 2,701,712,484/34,625
6. Step 6: Final answer
   x = 78,027.80