Finding the Third Proportional to 23,546 and 51,466

Step by Step Solution

1. Step 1: Write the proportion equation
   23,546 : 51,466 = 51,466 : x
2. Step 2: Convert to fraction form
   23,546/51,466 = 51,466/x
3. Step 3: Cross multiply
   23,546x = 51,466 × 51,466
4. Step 4: Simplify right side
   23,546x = 2,648,749,156
5. Step 5: Solve for x
   x = 2,648,749,156/23,546
6. Step 6: Final answer
   x = 112,492.53