Finding the Third Proportional to 32,953.50 and 36,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,953.50 : 36,517.50 = 36,517.50 : x
2. Step 2: Convert to fraction form
   32,953.50/36,517.50 = 36,517.50/x
3. Step 3: Cross multiply
   32,953.50x = 36,517.50 × 36,517.50
4. Step 4: Simplify right side
   32,953.50x = 1,333,527,806.25
5. Step 5: Solve for x
   x = 1,333,527,806.25/32,953.50
6. Step 6: Final answer
   x = 40,466.96