Finding the Third Proportional to 17,827.50 and 27,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,827.50 : 27,733.50 = 27,733.50 : x
2. Step 2: Convert to fraction form
   17,827.50/27,733.50 = 27,733.50/x
3. Step 3: Cross multiply
   17,827.50x = 27,733.50 × 27,733.50
4. Step 4: Simplify right side
   17,827.50x = 769,147,022.25
5. Step 5: Solve for x
   x = 769,147,022.25/17,827.50
6. Step 6: Final answer
   x = 43,143.85