Finding the Third Proportional to 32,134 and 65,834

Step by Step Solution

1. Step 1: Write the proportion equation
   32,134 : 65,834 = 65,834 : x
2. Step 2: Convert to fraction form
   32,134/65,834 = 65,834/x
3. Step 3: Cross multiply
   32,134x = 65,834 × 65,834
4. Step 4: Simplify right side
   32,134x = 4,334,115,556
5. Step 5: Solve for x
   x = 4,334,115,556/32,134
6. Step 6: Final answer
   x = 134,876.32