Finding the Third Proportional to 57,564 and 76,818

Step by Step Solution

1. Step 1: Write the proportion equation
   57,564 : 76,818 = 76,818 : x
2. Step 2: Convert to fraction form
   57,564/76,818 = 76,818/x
3. Step 3: Cross multiply
   57,564x = 76,818 × 76,818
4. Step 4: Simplify right side
   57,564x = 5,901,005,124
5. Step 5: Solve for x
   x = 5,901,005,124/57,564
6. Step 6: Final answer
   x = 102,512.08