Finding the Third Proportional to 32,143 and 65,853

Step by Step Solution

1. Step 1: Write the proportion equation
   32,143 : 65,853 = 65,853 : x
2. Step 2: Convert to fraction form
   32,143/65,853 = 65,853/x
3. Step 3: Cross multiply
   32,143x = 65,853 × 65,853
4. Step 4: Simplify right side
   32,143x = 4,336,617,609
5. Step 5: Solve for x
   x = 4,336,617,609/32,143
6. Step 6: Final answer
   x = 134,916.39