Finding the Third Proportional to 32,583 and 70,665

Step by Step Solution

1. Step 1: Write the proportion equation
   32,583 : 70,665 = 70,665 : x
2. Step 2: Convert to fraction form
   32,583/70,665 = 70,665/x
3. Step 3: Cross multiply
   32,583x = 70,665 × 70,665
4. Step 4: Simplify right side
   32,583x = 4,993,542,225
5. Step 5: Solve for x
   x = 4,993,542,225/32,583
6. Step 6: Final answer
   x = 153,256.06