Finding the Third Proportional to 32,215.50 and 38,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,215.50 : 38,596.50 = 38,596.50 : x
2. Step 2: Convert to fraction form
   32,215.50/38,596.50 = 38,596.50/x
3. Step 3: Cross multiply
   32,215.50x = 38,596.50 × 38,596.50
4. Step 4: Simplify right side
   32,215.50x = 1,489,689,812.25
5. Step 5: Solve for x
   x = 1,489,689,812.25/32,215.50
6. Step 6: Final answer
   x = 46,241.40