Finding the Third Proportional to 11,400.75 and 17,582.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,400.75 : 17,582.06 = 17,582.06 : x
2. Step 2: Convert to fraction form
   11,400.75/17,582.06 = 17,582.06/x
3. Step 3: Cross multiply
   11,400.75x = 17,582.06 × 17,582.06
4. Step 4: Simplify right side
   11,400.75x = 309,128,921.75
5. Step 5: Solve for x
   x = 309,128,921.75/11,400.75
6. Step 6: Final answer
   x = 27,114.79