Finding the Third Proportional to 14,464 and 21,146

Step by Step Solution

1. Step 1: Write the proportion equation
   14,464 : 21,146 = 21,146 : x
2. Step 2: Convert to fraction form
   14,464/21,146 = 21,146/x
3. Step 3: Cross multiply
   14,464x = 21,146 × 21,146
4. Step 4: Simplify right side
   14,464x = 447,153,316
5. Step 5: Solve for x
   x = 447,153,316/14,464
6. Step 6: Final answer
   x = 30,914.91