Finding the Third Proportional to 11,556.50 and 17,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556.50 : 17,766.75 = 17,766.75 : x
2. Step 2: Convert to fraction form
   11,556.50/17,766.75 = 17,766.75/x
3. Step 3: Cross multiply
   11,556.50x = 17,766.75 × 17,766.75
4. Step 4: Simplify right side
   11,556.50x = 315,657,405.56
5. Step 5: Solve for x
   x = 315,657,405.56/11,556.50
6. Step 6: Final answer
   x = 27,314.27