Finding the Third Proportional to 23,146 and 51,468

Step by Step Solution

1. Step 1: Write the proportion equation
   23,146 : 51,468 = 51,468 : x
2. Step 2: Convert to fraction form
   23,146/51,468 = 51,468/x
3. Step 3: Cross multiply
   23,146x = 51,468 × 51,468
4. Step 4: Simplify right side
   23,146x = 2,648,955,024
5. Step 5: Solve for x
   x = 2,648,955,024/23,146
6. Step 6: Final answer
   x = 114,445.48