Finding the Third Proportional to 17,818 and 27,697

Step by Step Solution

1. Step 1: Write the proportion equation
   17,818 : 27,697 = 27,697 : x
2. Step 2: Convert to fraction form
   17,818/27,697 = 27,697/x
3. Step 3: Cross multiply
   17,818x = 27,697 × 27,697
4. Step 4: Simplify right side
   17,818x = 767,123,809
5. Step 5: Solve for x
   x = 767,123,809/17,818
6. Step 6: Final answer
   x = 43,053.31