Finding the Third Proportional to 17,759 and 38,110

Step by Step Solution

1. Step 1: Write the proportion equation
   17,759 : 38,110 = 38,110 : x
2. Step 2: Convert to fraction form
   17,759/38,110 = 38,110/x
3. Step 3: Cross multiply
   17,759x = 38,110 × 38,110
4. Step 4: Simplify right side
   17,759x = 1,452,372,100
5. Step 5: Solve for x
   x = 1,452,372,100/17,759
6. Step 6: Final answer
   x = 81,782.31