Finding the Third Proportional to 32,406 and 65,964

Step by Step Solution

1. Step 1: Write the proportion equation
   32,406 : 65,964 = 65,964 : x
2. Step 2: Convert to fraction form
   32,406/65,964 = 65,964/x
3. Step 3: Cross multiply
   32,406x = 65,964 × 65,964
4. Step 4: Simplify right side
   32,406x = 4,351,249,296
5. Step 5: Solve for x
   x = 4,351,249,296/32,406
6. Step 6: Final answer
   x = 134,272.95