Finding the Third Proportional to 16,499 and 35,588

Step by Step Solution

1. Step 1: Write the proportion equation
   16,499 : 35,588 = 35,588 : x
2. Step 2: Convert to fraction form
   16,499/35,588 = 35,588/x
3. Step 3: Cross multiply
   16,499x = 35,588 × 35,588
4. Step 4: Simplify right side
   16,499x = 1,266,505,744
5. Step 5: Solve for x
   x = 1,266,505,744/16,499
6. Step 6: Final answer
   x = 76,762.58