Finding the Third Proportional to 16,164 and 35,586

Step by Step Solution

1. Step 1: Write the proportion equation
   16,164 : 35,586 = 35,586 : x
2. Step 2: Convert to fraction form
   16,164/35,586 = 35,586/x
3. Step 3: Cross multiply
   16,164x = 35,586 × 35,586
4. Step 4: Simplify right side
   16,164x = 1,266,363,396
5. Step 5: Solve for x
   x = 1,266,363,396/16,164
6. Step 6: Final answer
   x = 78,344.68