Finding the Third Proportional to 14,665 and 34,585

Step by Step Solution

1. Step 1: Write the proportion equation
   14,665 : 34,585 = 34,585 : x
2. Step 2: Convert to fraction form
   14,665/34,585 = 34,585/x
3. Step 3: Cross multiply
   14,665x = 34,585 × 34,585
4. Step 4: Simplify right side
   14,665x = 1,196,122,225
5. Step 5: Solve for x
   x = 1,196,122,225/14,665
6. Step 6: Final answer
   x = 81,563.06