Finding the Third Proportional to 34,132 and 52,974

Step by Step Solution

1. Step 1: Write the proportion equation
   34,132 : 52,974 = 52,974 : x
2. Step 2: Convert to fraction form
   34,132/52,974 = 52,974/x
3. Step 3: Cross multiply
   34,132x = 52,974 × 52,974
4. Step 4: Simplify right side
   34,132x = 2,806,244,676
5. Step 5: Solve for x
   x = 2,806,244,676/34,132
6. Step 6: Final answer
   x = 82,217.41