Finding the Third Proportional to 27,120.75 and 41,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,120.75 : 41,989.50 = 41,989.50 : x
2. Step 2: Convert to fraction form
   27,120.75/41,989.50 = 41,989.50/x
3. Step 3: Cross multiply
   27,120.75x = 41,989.50 × 41,989.50
4. Step 4: Simplify right side
   27,120.75x = 1,763,118,110.25
5. Step 5: Solve for x
   x = 1,763,118,110.25/27,120.75
6. Step 6: Final answer
   x = 65,009.93