Finding the Third Proportional to 19,714 and 41,090

Step by Step Solution

1. Step 1: Write the proportion equation
   19,714 : 41,090 = 41,090 : x
2. Step 2: Convert to fraction form
   19,714/41,090 = 41,090/x
3. Step 3: Cross multiply
   19,714x = 41,090 × 41,090
4. Step 4: Simplify right side
   19,714x = 1,688,388,100
5. Step 5: Solve for x
   x = 1,688,388,100/19,714
6. Step 6: Final answer
   x = 85,644.12