Finding the Third Proportional to 17,601 and 27,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,601 : 27,256.50 = 27,256.50 : x
2. Step 2: Convert to fraction form
   17,601/27,256.50 = 27,256.50/x
3. Step 3: Cross multiply
   17,601x = 27,256.50 × 27,256.50
4. Step 4: Simplify right side
   17,601x = 742,916,792.25
5. Step 5: Solve for x
   x = 742,916,792.25/17,601
6. Step 6: Final answer
   x = 42,208.78