Finding the Third Proportional to 17,901 and 27,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,901 : 27,661.50 = 27,661.50 : x
2. Step 2: Convert to fraction form
   17,901/27,661.50 = 27,661.50/x
3. Step 3: Cross multiply
   17,901x = 27,661.50 × 27,661.50
4. Step 4: Simplify right side
   17,901x = 765,158,582.25
5. Step 5: Solve for x
   x = 765,158,582.25/17,901
6. Step 6: Final answer
   x = 42,743.90