Finding the Third Proportional to 9,200 and 19,585

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200 : 19,585 = 19,585 : x
2. Step 2: Convert to fraction form
   9,200/19,585 = 19,585/x
3. Step 3: Cross multiply
   9,200x = 19,585 × 19,585
4. Step 4: Simplify right side
   9,200x = 383,572,225
5. Step 5: Solve for x
   x = 383,572,225/9,200
6. Step 6: Final answer
   x = 41,692.63