Finding the Third Proportional to 32,546 and 71,059

Step by Step Solution

1. Step 1: Write the proportion equation
   32,546 : 71,059 = 71,059 : x
2. Step 2: Convert to fraction form
   32,546/71,059 = 71,059/x
3. Step 3: Cross multiply
   32,546x = 71,059 × 71,059
4. Step 4: Simplify right side
   32,546x = 5,049,381,481
5. Step 5: Solve for x
   x = 5,049,381,481/32,546
6. Step 6: Final answer
   x = 155,145.99