Finding the Third Proportional to 11,627.50 and 17,395.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,627.50 : 17,395.75 = 17,395.75 : x
2. Step 2: Convert to fraction form
   11,627.50/17,395.75 = 17,395.75/x
3. Step 3: Cross multiply
   11,627.50x = 17,395.75 × 17,395.75
4. Step 4: Simplify right side
   11,627.50x = 302,612,118.06
5. Step 5: Solve for x
   x = 302,612,118.06/11,627.50
6. Step 6: Final answer
   x = 26,025.55