Finding the Third Proportional to 31,324 and 65,240

Step by Step Solution

1. Step 1: Write the proportion equation
   31,324 : 65,240 = 65,240 : x
2. Step 2: Convert to fraction form
   31,324/65,240 = 65,240/x
3. Step 3: Cross multiply
   31,324x = 65,240 × 65,240
4. Step 4: Simplify right side
   31,324x = 4,256,257,600
5. Step 5: Solve for x
   x = 4,256,257,600/31,324
6. Step 6: Final answer
   x = 135,878.48