Finding the Third Proportional to 32,146 and 65,856

Step by Step Solution

1. Step 1: Write the proportion equation
   32,146 : 65,856 = 65,856 : x
2. Step 2: Convert to fraction form
   32,146/65,856 = 65,856/x
3. Step 3: Cross multiply
   32,146x = 65,856 × 65,856
4. Step 4: Simplify right side
   32,146x = 4,337,012,736
5. Step 5: Solve for x
   x = 4,337,012,736/32,146
6. Step 6: Final answer
   x = 134,916.09