Finding the Third Proportional to 9,590.50 and 14,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,590.50 : 14,696.50 = 14,696.50 : x
2. Step 2: Convert to fraction form
   9,590.50/14,696.50 = 14,696.50/x
3. Step 3: Cross multiply
   9,590.50x = 14,696.50 × 14,696.50
4. Step 4: Simplify right side
   9,590.50x = 215,987,112.25
5. Step 5: Solve for x
   x = 215,987,112.25/9,590.50
6. Step 6: Final answer
   x = 22,520.94