Finding the Third Proportional to 31,144 and 65,324

Step by Step Solution

1. Step 1: Write the proportion equation
   31,144 : 65,324 = 65,324 : x
2. Step 2: Convert to fraction form
   31,144/65,324 = 65,324/x
3. Step 3: Cross multiply
   31,144x = 65,324 × 65,324
4. Step 4: Simplify right side
   31,144x = 4,267,224,976
5. Step 5: Solve for x
   x = 4,267,224,976/31,144
6. Step 6: Final answer
   x = 137,015.96