Finding the Third Proportional to 17,834 and 38,585

Step by Step Solution

1. Step 1: Write the proportion equation
   17,834 : 38,585 = 38,585 : x
2. Step 2: Convert to fraction form
   17,834/38,585 = 38,585/x
3. Step 3: Cross multiply
   17,834x = 38,585 × 38,585
4. Step 4: Simplify right side
   17,834x = 1,488,802,225
5. Step 5: Solve for x
   x = 1,488,802,225/17,834
6. Step 6: Final answer
   x = 83,481.12