Finding the Third Proportional to 17,640 and 27,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 27,022.50 = 27,022.50 : x
2. Step 2: Convert to fraction form
   17,640/27,022.50 = 27,022.50/x
3. Step 3: Cross multiply
   17,640x = 27,022.50 × 27,022.50
4. Step 4: Simplify right side
   17,640x = 730,215,506.25
5. Step 5: Solve for x
   x = 730,215,506.25/17,640
6. Step 6: Final answer
   x = 41,395.44