Finding the Third Proportional to 32,584 and 71,001

Step by Step Solution

1. Step 1: Write the proportion equation
   32,584 : 71,001 = 71,001 : x
2. Step 2: Convert to fraction form
   32,584/71,001 = 71,001/x
3. Step 3: Cross multiply
   32,584x = 71,001 × 71,001
4. Step 4: Simplify right side
   32,584x = 5,041,142,001
5. Step 5: Solve for x
   x = 5,041,142,001/32,584
6. Step 6: Final answer
   x = 154,712.19