Finding the Third Proportional to 16,584 and 35,088

Step by Step Solution

1. Step 1: Write the proportion equation
   16,584 : 35,088 = 35,088 : x
2. Step 2: Convert to fraction form
   16,584/35,088 = 35,088/x
3. Step 3: Cross multiply
   16,584x = 35,088 × 35,088
4. Step 4: Simplify right side
   16,584x = 1,231,167,744
5. Step 5: Solve for x
   x = 1,231,167,744/16,584
6. Step 6: Final answer
   x = 74,238.29