Finding the Third Proportional to 7,530 and 17,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,530 : 17,590.50 = 17,590.50 : x
2. Step 2: Convert to fraction form
   7,530/17,590.50 = 17,590.50/x
3. Step 3: Cross multiply
   7,530x = 17,590.50 × 17,590.50
4. Step 4: Simplify right side
   7,530x = 309,425,690.25
5. Step 5: Solve for x
   x = 309,425,690.25/7,530
6. Step 6: Final answer
   x = 41,092.39