Finding the Third Proportional to 16,465 and 35,589

Step by Step Solution

1. Step 1: Write the proportion equation
   16,465 : 35,589 = 35,589 : x
2. Step 2: Convert to fraction form
   16,465/35,589 = 35,589/x
3. Step 3: Cross multiply
   16,465x = 35,589 × 35,589
4. Step 4: Simplify right side
   16,465x = 1,266,576,921
5. Step 5: Solve for x
   x = 1,266,576,921/16,465
6. Step 6: Final answer
   x = 76,925.41