Finding the Third Proportional to 31,952 and 65,440

Step by Step Solution

1. Step 1: Write the proportion equation
   31,952 : 65,440 = 65,440 : x
2. Step 2: Convert to fraction form
   31,952/65,440 = 65,440/x
3. Step 3: Cross multiply
   31,952x = 65,440 × 65,440
4. Step 4: Simplify right side
   31,952x = 4,282,393,600
5. Step 5: Solve for x
   x = 4,282,393,600/31,952
6. Step 6: Final answer
   x = 134,025.84