Finding the Third Proportional to 10,264 and 14,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 14,658 = 14,658 : x
2. Step 2: Convert to fraction form
   10,264/14,658 = 14,658/x
3. Step 3: Cross multiply
   10,264x = 14,658 × 14,658
4. Step 4: Simplify right side
   10,264x = 214,856,964
5. Step 5: Solve for x
   x = 214,856,964/10,264
6. Step 6: Final answer
   x = 20,933.06