Finding the Third Proportional to 10,078 and 22,106

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078 : 22,106 = 22,106 : x
2. Step 2: Convert to fraction form
   10,078/22,106 = 22,106/x
3. Step 3: Cross multiply
   10,078x = 22,106 × 22,106
4. Step 4: Simplify right side
   10,078x = 488,675,236
5. Step 5: Solve for x
   x = 488,675,236/10,078
6. Step 6: Final answer
   x = 48,489.31