Finding the Third Proportional to 35,864 and 54,564

Step by Step Solution

1. Step 1: Write the proportion equation
   35,864 : 54,564 = 54,564 : x
2. Step 2: Convert to fraction form
   35,864/54,564 = 54,564/x
3. Step 3: Cross multiply
   35,864x = 54,564 × 54,564
4. Step 4: Simplify right side
   35,864x = 2,977,230,096
5. Step 5: Solve for x
   x = 2,977,230,096/35,864
6. Step 6: Final answer
   x = 83,014.45