Finding the Third Proportional to 32,814 and 69,570

Step by Step Solution

1. Step 1: Write the proportion equation
   32,814 : 69,570 = 69,570 : x
2. Step 2: Convert to fraction form
   32,814/69,570 = 69,570/x
3. Step 3: Cross multiply
   32,814x = 69,570 × 69,570
4. Step 4: Simplify right side
   32,814x = 4,839,984,900
5. Step 5: Solve for x
   x = 4,839,984,900/32,814
6. Step 6: Final answer
   x = 147,497.56