Finding the Third Proportional to 27,566.25 and 41,145.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,566.25 : 41,145.75 = 41,145.75 : x
2. Step 2: Convert to fraction form
   27,566.25/41,145.75 = 41,145.75/x
3. Step 3: Cross multiply
   27,566.25x = 41,145.75 × 41,145.75
4. Step 4: Simplify right side
   27,566.25x = 1,692,972,743.06
5. Step 5: Solve for x
   x = 1,692,972,743.06/27,566.25
6. Step 6: Final answer
   x = 61,414.69