Finding the Third Proportional to 34,773 and 52,322

Step by Step Solution

1. Step 1: Write the proportion equation
   34,773 : 52,322 = 52,322 : x
2. Step 2: Convert to fraction form
   34,773/52,322 = 52,322/x
3. Step 3: Cross multiply
   34,773x = 52,322 × 52,322
4. Step 4: Simplify right side
   34,773x = 2,737,591,684
5. Step 5: Solve for x
   x = 2,737,591,684/34,773
6. Step 6: Final answer
   x = 78,727.51