Finding the Third Proportional to 23,778 and 51,362

Step by Step Solution

1. Step 1: Write the proportion equation
   23,778 : 51,362 = 51,362 : x
2. Step 2: Convert to fraction form
   23,778/51,362 = 51,362/x
3. Step 3: Cross multiply
   23,778x = 51,362 × 51,362
4. Step 4: Simplify right side
   23,778x = 2,638,055,044
5. Step 5: Solve for x
   x = 2,638,055,044/23,778
6. Step 6: Final answer
   x = 110,945.20