Finding the Third Proportional to 34,578 and 52,185

Step by Step Solution

1. Step 1: Write the proportion equation
   34,578 : 52,185 = 52,185 : x
2. Step 2: Convert to fraction form
   34,578/52,185 = 52,185/x
3. Step 3: Cross multiply
   34,578x = 52,185 × 52,185
4. Step 4: Simplify right side
   34,578x = 2,723,274,225
5. Step 5: Solve for x
   x = 2,723,274,225/34,578
6. Step 6: Final answer
   x = 78,757.42