Finding the Third Proportional to 10,116 and 22,077

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 22,077 = 22,077 : x
2. Step 2: Convert to fraction form
   10,116/22,077 = 22,077/x
3. Step 3: Cross multiply
   10,116x = 22,077 × 22,077
4. Step 4: Simplify right side
   10,116x = 487,393,929
5. Step 5: Solve for x
   x = 487,393,929/10,116
6. Step 6: Final answer
   x = 48,180.50