Finding the Third Proportional to 31,380 and 65,352

Step by Step Solution

1. Step 1: Write the proportion equation
   31,380 : 65,352 = 65,352 : x
2. Step 2: Convert to fraction form
   31,380/65,352 = 65,352/x
3. Step 3: Cross multiply
   31,380x = 65,352 × 65,352
4. Step 4: Simplify right side
   31,380x = 4,270,883,904
5. Step 5: Solve for x
   x = 4,270,883,904/31,380
6. Step 6: Final answer
   x = 136,102.10