Finding the Third Proportional to 8,140 and 17,729

Step by Step Solution

1. Step 1: Write the proportion equation
   8,140 : 17,729 = 17,729 : x
2. Step 2: Convert to fraction form
   8,140/17,729 = 17,729/x
3. Step 3: Cross multiply
   8,140x = 17,729 × 17,729
4. Step 4: Simplify right side
   8,140x = 314,317,441
5. Step 5: Solve for x
   x = 314,317,441/8,140
6. Step 6: Final answer
   x = 38,613.94