Finding the Third Proportional to 10,778 and 23,114

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778 : 23,114 = 23,114 : x
2. Step 2: Convert to fraction form
   10,778/23,114 = 23,114/x
3. Step 3: Cross multiply
   10,778x = 23,114 × 23,114
4. Step 4: Simplify right side
   10,778x = 534,256,996
5. Step 5: Solve for x
   x = 534,256,996/10,778
6. Step 6: Final answer
   x = 49,569.21