Finding the Third Proportional to 27,585 and 41,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,585 : 41,458.50 = 41,458.50 : x
2. Step 2: Convert to fraction form
   27,585/41,458.50 = 41,458.50/x
3. Step 3: Cross multiply
   27,585x = 41,458.50 × 41,458.50
4. Step 4: Simplify right side
   27,585x = 1,718,807,222.25
5. Step 5: Solve for x
   x = 1,718,807,222.25/27,585
6. Step 6: Final answer
   x = 62,309.49