Finding the Third Proportional to 27,864 and 37,800

Step by Step Solution

1. Step 1: Write the proportion equation
   27,864 : 37,800 = 37,800 : x
2. Step 2: Convert to fraction form
   27,864/37,800 = 37,800/x
3. Step 3: Cross multiply
   27,864x = 37,800 × 37,800
4. Step 4: Simplify right side
   27,864x = 1,428,840,000
5. Step 5: Solve for x
   x = 1,428,840,000/27,864
6. Step 6: Final answer
   x = 51,279.07