Finding the Third Proportional to 24,780 and 55,086

Step by Step Solution

1. Step 1: Write the proportion equation
   24,780 : 55,086 = 55,086 : x
2. Step 2: Convert to fraction form
   24,780/55,086 = 55,086/x
3. Step 3: Cross multiply
   24,780x = 55,086 × 55,086
4. Step 4: Simplify right side
   24,780x = 3,034,467,396
5. Step 5: Solve for x
   x = 3,034,467,396/24,780
6. Step 6: Final answer
   x = 122,456.31