Finding the Third Proportional to 13,413 and 31,563

Step by Step Solution

1. Step 1: Write the proportion equation
   13,413 : 31,563 = 31,563 : x
2. Step 2: Convert to fraction form
   13,413/31,563 = 31,563/x
3. Step 3: Cross multiply
   13,413x = 31,563 × 31,563
4. Step 4: Simplify right side
   13,413x = 996,222,969
5. Step 5: Solve for x
   x = 996,222,969/13,413
6. Step 6: Final answer
   x = 74,272.94