Finding the Third Proportional to 31,920 and 65,424

Step by Step Solution

1. Step 1: Write the proportion equation
   31,920 : 65,424 = 65,424 : x
2. Step 2: Convert to fraction form
   31,920/65,424 = 65,424/x
3. Step 3: Cross multiply
   31,920x = 65,424 × 65,424
4. Step 4: Simplify right side
   31,920x = 4,280,299,776
5. Step 5: Solve for x
   x = 4,280,299,776/31,920
6. Step 6: Final answer
   x = 134,094.60