Finding the Third Proportional to 13,311 and 31,653

Step by Step Solution

1. Step 1: Write the proportion equation
   13,311 : 31,653 = 31,653 : x
2. Step 2: Convert to fraction form
   13,311/31,653 = 31,653/x
3. Step 3: Cross multiply
   13,311x = 31,653 × 31,653
4. Step 4: Simplify right side
   13,311x = 1,001,912,409
5. Step 5: Solve for x
   x = 1,001,912,409/13,311
6. Step 6: Final answer
   x = 75,269.51