Finding the Third Proportional to 11,698.50 and 18,596.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,698.50 : 18,596.25 = 18,596.25 : x
2. Step 2: Convert to fraction form
   11,698.50/18,596.25 = 18,596.25/x
3. Step 3: Cross multiply
   11,698.50x = 18,596.25 × 18,596.25
4. Step 4: Simplify right side
   11,698.50x = 345,820,514.06
5. Step 5: Solve for x
   x = 345,820,514.06/11,698.50
6. Step 6: Final answer
   x = 29,561.10