Finding the Third Proportional to 37,489.50 and 49,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,489.50 : 49,126.50 = 49,126.50 : x
2. Step 2: Convert to fraction form
   37,489.50/49,126.50 = 49,126.50/x
3. Step 3: Cross multiply
   37,489.50x = 49,126.50 × 49,126.50
4. Step 4: Simplify right side
   37,489.50x = 2,413,413,002.25
5. Step 5: Solve for x
   x = 2,413,413,002.25/37,489.50
6. Step 6: Final answer
   x = 64,375.71