Finding the Third Proportional to 20,971 and 32,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,971 : 32,509.50 = 32,509.50 : x
2. Step 2: Convert to fraction form
   20,971/32,509.50 = 32,509.50/x
3. Step 3: Cross multiply
   20,971x = 32,509.50 × 32,509.50
4. Step 4: Simplify right side
   20,971x = 1,056,867,590.25
5. Step 5: Solve for x
   x = 1,056,867,590.25/20,971
6. Step 6: Final answer
   x = 50,396.62