Finding the Third Proportional to 13,585 and 30,086

Step by Step Solution

1. Step 1: Write the proportion equation
   13,585 : 30,086 = 30,086 : x
2. Step 2: Convert to fraction form
   13,585/30,086 = 30,086/x
3. Step 3: Cross multiply
   13,585x = 30,086 × 30,086
4. Step 4: Simplify right side
   13,585x = 905,167,396
5. Step 5: Solve for x
   x = 905,167,396/13,585
6. Step 6: Final answer
   x = 66,629.92