Finding the Third Proportional to 34,561 and 52,757

Step by Step Solution

1. Step 1: Write the proportion equation
   34,561 : 52,757 = 52,757 : x
2. Step 2: Convert to fraction form
   34,561/52,757 = 52,757/x
3. Step 3: Cross multiply
   34,561x = 52,757 × 52,757
4. Step 4: Simplify right side
   34,561x = 2,783,301,049
5. Step 5: Solve for x
   x = 2,783,301,049/34,561
6. Step 6: Final answer
   x = 80,533.00