Finding the Third Proportional to 17,872.50 and 26,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,872.50 : 26,290.50 = 26,290.50 : x
2. Step 2: Convert to fraction form
   17,872.50/26,290.50 = 26,290.50/x
3. Step 3: Cross multiply
   17,872.50x = 26,290.50 × 26,290.50
4. Step 4: Simplify right side
   17,872.50x = 691,190,390.25
5. Step 5: Solve for x
   x = 691,190,390.25/17,872.50
6. Step 6: Final answer
   x = 38,673.40