Finding the Third Proportional to 32,302 and 65,476

Step by Step Solution

1. Step 1: Write the proportion equation
   32,302 : 65,476 = 65,476 : x
2. Step 2: Convert to fraction form
   32,302/65,476 = 65,476/x
3. Step 3: Cross multiply
   32,302x = 65,476 × 65,476
4. Step 4: Simplify right side
   32,302x = 4,287,106,576
5. Step 5: Solve for x
   x = 4,287,106,576/32,302
6. Step 6: Final answer
   x = 132,719.54