Finding the Third Proportional to 13,974 and 30,534

Step by Step Solution

1. Step 1: Write the proportion equation
   13,974 : 30,534 = 30,534 : x
2. Step 2: Convert to fraction form
   13,974/30,534 = 30,534/x
3. Step 3: Cross multiply
   13,974x = 30,534 × 30,534
4. Step 4: Simplify right side
   13,974x = 932,325,156
5. Step 5: Solve for x
   x = 932,325,156/13,974
6. Step 6: Final answer
   x = 66,718.56