Finding the Third Proportional to 31,680 and 65,520

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 65,520 = 65,520 : x
2. Step 2: Convert to fraction form
   31,680/65,520 = 65,520/x
3. Step 3: Cross multiply
   31,680x = 65,520 × 65,520
4. Step 4: Simplify right side
   31,680x = 4,292,870,400
5. Step 5: Solve for x
   x = 4,292,870,400/31,680
6. Step 6: Final answer
   x = 135,507.27