Finding the Third Proportional to 33,814 and 52,635

Step by Step Solution

1. Step 1: Write the proportion equation
   33,814 : 52,635 = 52,635 : x
2. Step 2: Convert to fraction form
   33,814/52,635 = 52,635/x
3. Step 3: Cross multiply
   33,814x = 52,635 × 52,635
4. Step 4: Simplify right side
   33,814x = 2,770,443,225
5. Step 5: Solve for x
   x = 2,770,443,225/33,814
6. Step 6: Final answer
   x = 81,931.84