Finding the Third Proportional to 32,586 and 71,409

Step by Step Solution

1. Step 1: Write the proportion equation
   32,586 : 71,409 = 71,409 : x
2. Step 2: Convert to fraction form
   32,586/71,409 = 71,409/x
3. Step 3: Cross multiply
   32,586x = 71,409 × 71,409
4. Step 4: Simplify right side
   32,586x = 5,099,245,281
5. Step 5: Solve for x
   x = 5,099,245,281/32,586
6. Step 6: Final answer
   x = 156,485.77