Finding the Third Proportional to 17,758 and 38,646

Step by Step Solution

1. Step 1: Write the proportion equation
   17,758 : 38,646 = 38,646 : x
2. Step 2: Convert to fraction form
   17,758/38,646 = 38,646/x
3. Step 3: Cross multiply
   17,758x = 38,646 × 38,646
4. Step 4: Simplify right side
   17,758x = 1,493,513,316
5. Step 5: Solve for x
   x = 1,493,513,316/17,758
6. Step 6: Final answer
   x = 84,103.69