Finding the Third Proportional to 33,814 and 52,566

Step by Step Solution

1. Step 1: Write the proportion equation
   33,814 : 52,566 = 52,566 : x
2. Step 2: Convert to fraction form
   33,814/52,566 = 52,566/x
3. Step 3: Cross multiply
   33,814x = 52,566 × 52,566
4. Step 4: Simplify right side
   33,814x = 2,763,184,356
5. Step 5: Solve for x
   x = 2,763,184,356/33,814
6. Step 6: Final answer
   x = 81,717.17