Finding the Third Proportional to 11,359 and 17,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,359 : 17,695.50 = 17,695.50 : x
2. Step 2: Convert to fraction form
   11,359/17,695.50 = 17,695.50/x
3. Step 3: Cross multiply
   11,359x = 17,695.50 × 17,695.50
4. Step 4: Simplify right side
   11,359x = 313,130,720.25
5. Step 5: Solve for x
   x = 313,130,720.25/11,359
6. Step 6: Final answer
   x = 27,566.75