Finding the Third Proportional to 35,877 and 49,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,877 : 49,249.50 = 49,249.50 : x
2. Step 2: Convert to fraction form
   35,877/49,249.50 = 49,249.50/x
3. Step 3: Cross multiply
   35,877x = 49,249.50 × 49,249.50
4. Step 4: Simplify right side
   35,877x = 2,425,513,250.25
5. Step 5: Solve for x
   x = 2,425,513,250.25/35,877
6. Step 6: Final answer
   x = 67,606.36