Finding the Third Proportional to 17,786 and 38,612

Step by Step Solution

1. Step 1: Write the proportion equation
   17,786 : 38,612 = 38,612 : x
2. Step 2: Convert to fraction form
   17,786/38,612 = 38,612/x
3. Step 3: Cross multiply
   17,786x = 38,612 × 38,612
4. Step 4: Simplify right side
   17,786x = 1,490,886,544
5. Step 5: Solve for x
   x = 1,490,886,544/17,786
6. Step 6: Final answer
   x = 83,823.60