Finding the Third Proportional to 38,514 and 51,978

Step by Step Solution

1. Step 1: Write the proportion equation
   38,514 : 51,978 = 51,978 : x
2. Step 2: Convert to fraction form
   38,514/51,978 = 51,978/x
3. Step 3: Cross multiply
   38,514x = 51,978 × 51,978
4. Step 4: Simplify right side
   38,514x = 2,701,712,484
5. Step 5: Solve for x
   x = 2,701,712,484/38,514
6. Step 6: Final answer
   x = 70,148.84