Finding the Third Proportional to 11,515.50 and 17,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,515.50 : 17,782.50 = 17,782.50 : x
2. Step 2: Convert to fraction form
   11,515.50/17,782.50 = 17,782.50/x
3. Step 3: Cross multiply
   11,515.50x = 17,782.50 × 17,782.50
4. Step 4: Simplify right side
   11,515.50x = 316,217,306.25
5. Step 5: Solve for x
   x = 316,217,306.25/11,515.50
6. Step 6: Final answer
   x = 27,460.15