Finding the Third Proportional to 23,877 and 51,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,877 : 51,682.50 = 51,682.50 : x
2. Step 2: Convert to fraction form
   23,877/51,682.50 = 51,682.50/x
3. Step 3: Cross multiply
   23,877x = 51,682.50 × 51,682.50
4. Step 4: Simplify right side
   23,877x = 2,671,080,806.25
5. Step 5: Solve for x
   x = 2,671,080,806.25/23,877
6. Step 6: Final answer
   x = 111,868.36