Finding the Third Proportional to 32,089.50 and 36,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,089.50 : 36,940.50 = 36,940.50 : x
2. Step 2: Convert to fraction form
   32,089.50/36,940.50 = 36,940.50/x
3. Step 3: Cross multiply
   32,089.50x = 36,940.50 × 36,940.50
4. Step 4: Simplify right side
   32,089.50x = 1,364,600,540.25
5. Step 5: Solve for x
   x = 1,364,600,540.25/32,089.50
6. Step 6: Final answer
   x = 42,524.83