Finding the Third Proportional to 13,714 and 20,076

Step by Step Solution

1. Step 1: Write the proportion equation
   13,714 : 20,076 = 20,076 : x
2. Step 2: Convert to fraction form
   13,714/20,076 = 20,076/x
3. Step 3: Cross multiply
   13,714x = 20,076 × 20,076
4. Step 4: Simplify right side
   13,714x = 403,045,776
5. Step 5: Solve for x
   x = 403,045,776/13,714
6. Step 6: Final answer
   x = 29,389.37