Finding the Third Proportional to 14,846 and 31,132

Step by Step Solution

1. Step 1: Write the proportion equation
   14,846 : 31,132 = 31,132 : x
2. Step 2: Convert to fraction form
   14,846/31,132 = 31,132/x
3. Step 3: Cross multiply
   14,846x = 31,132 × 31,132
4. Step 4: Simplify right side
   14,846x = 969,201,424
5. Step 5: Solve for x
   x = 969,201,424/14,846
6. Step 6: Final answer
   x = 65,283.67