Finding the Third Proportional to 10,078 and 21,778

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078 : 21,778 = 21,778 : x
2. Step 2: Convert to fraction form
   10,078/21,778 = 21,778/x
3. Step 3: Cross multiply
   10,078x = 21,778 × 21,778
4. Step 4: Simplify right side
   10,078x = 474,281,284
5. Step 5: Solve for x
   x = 474,281,284/10,078
6. Step 6: Final answer
   x = 47,061.05