Finding the Third Proportional to 25,877 and 40,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,877 : 40,083.50 = 40,083.50 : x
2. Step 2: Convert to fraction form
   25,877/40,083.50 = 40,083.50/x
3. Step 3: Cross multiply
   25,877x = 40,083.50 × 40,083.50
4. Step 4: Simplify right side
   25,877x = 1,606,686,972.25
5. Step 5: Solve for x
   x = 1,606,686,972.25/25,877
6. Step 6: Final answer
   x = 62,089.38