Finding the Third Proportional to 10,036 and 14,714

Step by Step Solution

1. Step 1: Write the proportion equation
   10,036 : 14,714 = 14,714 : x
2. Step 2: Convert to fraction form
   10,036/14,714 = 14,714/x
3. Step 3: Cross multiply
   10,036x = 14,714 × 14,714
4. Step 4: Simplify right side
   10,036x = 216,501,796
5. Step 5: Solve for x
   x = 216,501,796/10,036
6. Step 6: Final answer
   x = 21,572.52