Finding the Third Proportional to 27,216 and 41,627.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,216 : 41,627.25 = 41,627.25 : x
2. Step 2: Convert to fraction form
   27,216/41,627.25 = 41,627.25/x
3. Step 3: Cross multiply
   27,216x = 41,627.25 × 41,627.25
4. Step 4: Simplify right side
   27,216x = 1,732,827,942.56
5. Step 5: Solve for x
   x = 1,732,827,942.56/27,216
6. Step 6: Final answer
   x = 63,669.46