Finding the Third Proportional to 32,034 and 69,476

Step by Step Solution

1. Step 1: Write the proportion equation
   32,034 : 69,476 = 69,476 : x
2. Step 2: Convert to fraction form
   32,034/69,476 = 69,476/x
3. Step 3: Cross multiply
   32,034x = 69,476 × 69,476
4. Step 4: Simplify right side
   32,034x = 4,826,914,576
5. Step 5: Solve for x
   x = 4,826,914,576/32,034
6. Step 6: Final answer
   x = 150,680.98