Finding the Third Proportional to 32,314 and 65,816

Step by Step Solution

1. Step 1: Write the proportion equation
   32,314 : 65,816 = 65,816 : x
2. Step 2: Convert to fraction form
   32,314/65,816 = 65,816/x
3. Step 3: Cross multiply
   32,314x = 65,816 × 65,816
4. Step 4: Simplify right side
   32,314x = 4,331,745,856
5. Step 5: Solve for x
   x = 4,331,745,856/32,314
6. Step 6: Final answer
   x = 134,051.68