Finding the Third Proportional to 9,157 and 17,585

Step by Step Solution

1. Step 1: Write the proportion equation
   9,157 : 17,585 = 17,585 : x
2. Step 2: Convert to fraction form
   9,157/17,585 = 17,585/x
3. Step 3: Cross multiply
   9,157x = 17,585 × 17,585
4. Step 4: Simplify right side
   9,157x = 309,232,225
5. Step 5: Solve for x
   x = 309,232,225/9,157
6. Step 6: Final answer
   x = 33,770.04