Finding the Third Proportional to 17,759 and 38,454

Step by Step Solution

1. Step 1: Write the proportion equation
   17,759 : 38,454 = 38,454 : x
2. Step 2: Convert to fraction form
   17,759/38,454 = 38,454/x
3. Step 3: Cross multiply
   17,759x = 38,454 × 38,454
4. Step 4: Simplify right side
   17,759x = 1,478,710,116
5. Step 5: Solve for x
   x = 1,478,710,116/17,759
6. Step 6: Final answer
   x = 83,265.39