Finding the Third Proportional to 27,564 and 41,142

Step by Step Solution

1. Step 1: Write the proportion equation
   27,564 : 41,142 = 41,142 : x
2. Step 2: Convert to fraction form
   27,564/41,142 = 41,142/x
3. Step 3: Cross multiply
   27,564x = 41,142 × 41,142
4. Step 4: Simplify right side
   27,564x = 1,692,664,164
5. Step 5: Solve for x
   x = 1,692,664,164/27,564
6. Step 6: Final answer
   x = 61,408.51