Finding the Third Proportional to 33,157 and 52,503

Step by Step Solution

1. Step 1: Write the proportion equation
   33,157 : 52,503 = 52,503 : x
2. Step 2: Convert to fraction form
   33,157/52,503 = 52,503/x
3. Step 3: Cross multiply
   33,157x = 52,503 × 52,503
4. Step 4: Simplify right side
   33,157x = 2,756,565,009
5. Step 5: Solve for x
   x = 2,756,565,009/33,157
6. Step 6: Final answer
   x = 83,136.74