Finding the Third Proportional to 11,466 and 25,146

Step by Step Solution

1. Step 1: Write the proportion equation
   11,466 : 25,146 = 25,146 : x
2. Step 2: Convert to fraction form
   11,466/25,146 = 25,146/x
3. Step 3: Cross multiply
   11,466x = 25,146 × 25,146
4. Step 4: Simplify right side
   11,466x = 632,321,316
5. Step 5: Solve for x
   x = 632,321,316/11,466
6. Step 6: Final answer
   x = 55,147.51