Finding the Third Proportional to 32,566 and 70,966

Step by Step Solution

1. Step 1: Write the proportion equation
   32,566 : 70,966 = 70,966 : x
2. Step 2: Convert to fraction form
   32,566/70,966 = 70,966/x
3. Step 3: Cross multiply
   32,566x = 70,966 × 70,966
4. Step 4: Simplify right side
   32,566x = 5,036,173,156
5. Step 5: Solve for x
   x = 5,036,173,156/32,566
6. Step 6: Final answer
   x = 154,645.13