Finding the Third Proportional to 17,810 and 38,656

Step by Step Solution

1. Step 1: Write the proportion equation
   17,810 : 38,656 = 38,656 : x
2. Step 2: Convert to fraction form
   17,810/38,656 = 38,656/x
3. Step 3: Cross multiply
   17,810x = 38,656 × 38,656
4. Step 4: Simplify right side
   17,810x = 1,494,286,336
5. Step 5: Solve for x
   x = 1,494,286,336/17,810
6. Step 6: Final answer
   x = 83,901.53