Finding the Third Proportional to 32,386 and 65,672

Step by Step Solution

1. Step 1: Write the proportion equation
   32,386 : 65,672 = 65,672 : x
2. Step 2: Convert to fraction form
   32,386/65,672 = 65,672/x
3. Step 3: Cross multiply
   32,386x = 65,672 × 65,672
4. Step 4: Simplify right side
   32,386x = 4,312,811,584
5. Step 5: Solve for x
   x = 4,312,811,584/32,386
6. Step 6: Final answer
   x = 133,169.01