Finding the Third Proportional to 23,778 and 51,066

Step by Step Solution

1. Step 1: Write the proportion equation
   23,778 : 51,066 = 51,066 : x
2. Step 2: Convert to fraction form
   23,778/51,066 = 51,066/x
3. Step 3: Cross multiply
   23,778x = 51,066 × 51,066
4. Step 4: Simplify right side
   23,778x = 2,607,736,356
5. Step 5: Solve for x
   x = 2,607,736,356/23,778
6. Step 6: Final answer
   x = 109,670.13