Finding the Third Proportional to 27,830.25 and 41,745.38

Step by Step Solution

1. Step 1: Write the proportion equation
   27,830.25 : 41,745.38 = 41,745.38 : x
2. Step 2: Convert to fraction form
   27,830.25/41,745.38 = 41,745.38/x
3. Step 3: Cross multiply
   27,830.25x = 41,745.38 × 41,745.38
4. Step 4: Simplify right side
   27,830.25x = 1,742,676,333.89
5. Step 5: Solve for x
   x = 1,742,676,333.89/27,830.25
6. Step 6: Final answer
   x = 62,618.06