Finding the Third Proportional to 48,978 and 65,787

Step by Step Solution

1. Step 1: Write the proportion equation
   48,978 : 65,787 = 65,787 : x
2. Step 2: Convert to fraction form
   48,978/65,787 = 65,787/x
3. Step 3: Cross multiply
   48,978x = 65,787 × 65,787
4. Step 4: Simplify right side
   48,978x = 4,327,929,369
5. Step 5: Solve for x
   x = 4,327,929,369/48,978
6. Step 6: Final answer
   x = 88,364.76