Finding the Third Proportional to 32,564 and 71,000

Step by Step Solution

1. Step 1: Write the proportion equation
   32,564 : 71,000 = 71,000 : x
2. Step 2: Convert to fraction form
   32,564/71,000 = 71,000/x
3. Step 3: Cross multiply
   32,564x = 71,000 × 71,000
4. Step 4: Simplify right side
   32,564x = 5,041,000,000
5. Step 5: Solve for x
   x = 5,041,000,000/32,564
6. Step 6: Final answer
   x = 154,802.85