Finding the Third Proportional to 27,697.50 and 41,577.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,697.50 : 41,577.75 = 41,577.75 : x
2. Step 2: Convert to fraction form
   27,697.50/41,577.75 = 41,577.75/x
3. Step 3: Cross multiply
   27,697.50x = 41,577.75 × 41,577.75
4. Step 4: Simplify right side
   27,697.50x = 1,728,709,295.06
5. Step 5: Solve for x
   x = 1,728,709,295.06/27,697.50
6. Step 6: Final answer
   x = 62,413.91