Finding the Third Proportional to 32,142.38 and 49,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,142.38 : 49,306.50 = 49,306.50 : x
2. Step 2: Convert to fraction form
   32,142.38/49,306.50 = 49,306.50/x
3. Step 3: Cross multiply
   32,142.38x = 49,306.50 × 49,306.50
4. Step 4: Simplify right side
   32,142.38x = 2,431,130,942.25
5. Step 5: Solve for x
   x = 2,431,130,942.25/32,142.38
6. Step 6: Final answer
   x = 75,636.32