Finding the Third Proportional to 12,591 and 17,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,591 : 17,590.50 = 17,590.50 : x
2. Step 2: Convert to fraction form
   12,591/17,590.50 = 17,590.50/x
3. Step 3: Cross multiply
   12,591x = 17,590.50 × 17,590.50
4. Step 4: Simplify right side
   12,591x = 309,425,690.25
5. Step 5: Solve for x
   x = 309,425,690.25/12,591
6. Step 6: Final answer
   x = 24,575.15