Finding the Third Proportional to 10,273.50 and 27,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,273.50 : 27,864 = 27,864 : x
2. Step 2: Convert to fraction form
   10,273.50/27,864 = 27,864/x
3. Step 3: Cross multiply
   10,273.50x = 27,864 × 27,864
4. Step 4: Simplify right side
   10,273.50x = 776,402,496
5. Step 5: Solve for x
   x = 776,402,496/10,273.50
6. Step 6: Final answer
   x = 75,573.32