Finding the Third Proportional to 36,877 and 57,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,877 : 57,619.50 = 57,619.50 : x
2. Step 2: Convert to fraction form
   36,877/57,619.50 = 57,619.50/x
3. Step 3: Cross multiply
   36,877x = 57,619.50 × 57,619.50
4. Step 4: Simplify right side
   36,877x = 3,320,006,780.25
5. Step 5: Solve for x
   x = 3,320,006,780.25/36,877
6. Step 6: Final answer
   x = 90,029.20