Finding the Third Proportional to 17,738 and 38,716

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738 : 38,716 = 38,716 : x
2. Step 2: Convert to fraction form
   17,738/38,716 = 38,716/x
3. Step 3: Cross multiply
   17,738x = 38,716 × 38,716
4. Step 4: Simplify right side
   17,738x = 1,498,928,656
5. Step 5: Solve for x
   x = 1,498,928,656/17,738
6. Step 6: Final answer
   x = 84,503.81