Finding the Third Proportional to 16,005 and 34,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,005 : 34,965.50 = 34,965.50 : x
2. Step 2: Convert to fraction form
   16,005/34,965.50 = 34,965.50/x
3. Step 3: Cross multiply
   16,005x = 34,965.50 × 34,965.50
4. Step 4: Simplify right side
   16,005x = 1,222,586,190.25
5. Step 5: Solve for x
   x = 1,222,586,190.25/16,005
6. Step 6: Final answer
   x = 76,387.77