Finding the Third Proportional to 11,506.50 and 17,259.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,506.50 : 17,259.75 = 17,259.75 : x
2. Step 2: Convert to fraction form
   11,506.50/17,259.75 = 17,259.75/x
3. Step 3: Cross multiply
   11,506.50x = 17,259.75 × 17,259.75
4. Step 4: Simplify right side
   11,506.50x = 297,898,970.06
5. Step 5: Solve for x
   x = 297,898,970.06/11,506.50
6. Step 6: Final answer
   x = 25,889.63