Finding the Third Proportional to 16,586 and 35,460

Step by Step Solution

1. Step 1: Write the proportion equation
   16,586 : 35,460 = 35,460 : x
2. Step 2: Convert to fraction form
   16,586/35,460 = 35,460/x
3. Step 3: Cross multiply
   16,586x = 35,460 × 35,460
4. Step 4: Simplify right side
   16,586x = 1,257,411,600
5. Step 5: Solve for x
   x = 1,257,411,600/16,586
6. Step 6: Final answer
   x = 75,811.62