Finding the Third Proportional to 12,296.25 and 18,590.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,296.25 : 18,590.63 = 18,590.63 : x
2. Step 2: Convert to fraction form
   12,296.25/18,590.63 = 18,590.63/x
3. Step 3: Cross multiply
   12,296.25x = 18,590.63 × 18,590.63
4. Step 4: Simplify right side
   12,296.25x = 345,611,337.89
5. Step 5: Solve for x
   x = 345,611,337.89/12,296.25
6. Step 6: Final answer
   x = 28,107.05