Finding the Third Proportional to 23,863.50 and 51,828

Step by Step Solution

1. Step 1: Write the proportion equation
   23,863.50 : 51,828 = 51,828 : x
2. Step 2: Convert to fraction form
   23,863.50/51,828 = 51,828/x
3. Step 3: Cross multiply
   23,863.50x = 51,828 × 51,828
4. Step 4: Simplify right side
   23,863.50x = 2,686,141,584
5. Step 5: Solve for x
   x = 2,686,141,584/23,863.50
6. Step 6: Final answer
   x = 112,562.77