Finding the Third Proportional to 16,185 and 35,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,185 : 35,218.50 = 35,218.50 : x
2. Step 2: Convert to fraction form
   16,185/35,218.50 = 35,218.50/x
3. Step 3: Cross multiply
   16,185x = 35,218.50 × 35,218.50
4. Step 4: Simplify right side
   16,185x = 1,240,342,742.25
5. Step 5: Solve for x
   x = 1,240,342,742.25/16,185
6. Step 6: Final answer
   x = 76,635.33