Finding the Third Proportional to 30,596.50 and 41,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,596.50 : 41,175.50 = 41,175.50 : x
2. Step 2: Convert to fraction form
   30,596.50/41,175.50 = 41,175.50/x
3. Step 3: Cross multiply
   30,596.50x = 41,175.50 × 41,175.50
4. Step 4: Simplify right side
   30,596.50x = 1,695,421,800.25
5. Step 5: Solve for x
   x = 1,695,421,800.25/30,596.50
6. Step 6: Final answer
   x = 55,412.28