Finding the Third Proportional to 34,414 and 52,608

Step by Step Solution

1. Step 1: Write the proportion equation
   34,414 : 52,608 = 52,608 : x
2. Step 2: Convert to fraction form
   34,414/52,608 = 52,608/x
3. Step 3: Cross multiply
   34,414x = 52,608 × 52,608
4. Step 4: Simplify right side
   34,414x = 2,767,601,664
5. Step 5: Solve for x
   x = 2,767,601,664/34,414
6. Step 6: Final answer
   x = 80,420.81