Finding the Third Proportional to 14,586 and 31,974

Step by Step Solution

1. Step 1: Write the proportion equation
   14,586 : 31,974 = 31,974 : x
2. Step 2: Convert to fraction form
   14,586/31,974 = 31,974/x
3. Step 3: Cross multiply
   14,586x = 31,974 × 31,974
4. Step 4: Simplify right side
   14,586x = 1,022,336,676
5. Step 5: Solve for x
   x = 1,022,336,676/14,586
6. Step 6: Final answer
   x = 70,090.27